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Finding the Third Proportional to 161,574,711.50 and 255,888,896.50

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Solution

The third proportional to 161,574,711.50 and 255,888,896.50 is: 405,256,037.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,574,711.50 : 255,888,896.50 = 255,888,896.50 : x
  2. Step 2: Convert to fraction form
    161,574,711.50/255,888,896.50 = 255,888,896.50/x
  3. Step 3: Cross multiply
    161,574,711.50x = 255,888,896.50 × 255,888,896.50
  4. Step 4: Simplify right side
    161,574,711.50x = 65,479,127,351,987,712
  5. Step 5: Solve for x
    x = 65,479,127,351,987,712/161,574,711.50
  6. Step 6: Final answer
    x = 405,256,037.56

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.