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Finding the Third Proportional to 81,196,640,833.50 and 169,075,421,743.50

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Solution

The third proportional to 81,196,640,833.50 and 169,075,421,743.50 is: 352,065,035,502.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,196,640,833.50 : 169,075,421,743.50 = 169,075,421,743.50 : x
  2. Step 2: Convert to fraction form
    81,196,640,833.50/169,075,421,743.50 = 169,075,421,743.50/x
  3. Step 3: Cross multiply
    81,196,640,833.50x = 169,075,421,743.50 × 169,075,421,743.50
  4. Step 4: Simplify right side
    81,196,640,833.50x = 28,586,498,237,742,394,114,048
  5. Step 5: Solve for x
    x = 28,586,498,237,742,394,114,048/81,196,640,833.50
  6. Step 6: Final answer
    x = 352,065,035,502.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.