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Finding the Third Proportional to 68,219,306 and 104,963,835

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Solution

The third proportional to 68,219,306 and 104,963,835 is: 161,499,834.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,219,306 : 104,963,835 = 104,963,835 : x
  2. Step 2: Convert to fraction form
    68,219,306/104,963,835 = 104,963,835/x
  3. Step 3: Cross multiply
    68,219,306x = 104,963,835 × 104,963,835
  4. Step 4: Simplify right side
    68,219,306x = 11,017,406,657,907,224
  5. Step 5: Solve for x
    x = 11,017,406,657,907,224/68,219,306
  6. Step 6: Final answer
    x = 161,499,834.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.