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Finding the Third Proportional to 57,506,800.50 and 123,782,357.25

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Solution

The third proportional to 57,506,800.50 and 123,782,357.25 is: 266,439,305.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,506,800.50 : 123,782,357.25 = 123,782,357.25 : x
  2. Step 2: Convert to fraction form
    57,506,800.50/123,782,357.25 = 123,782,357.25/x
  3. Step 3: Cross multiply
    57,506,800.50x = 123,782,357.25 × 123,782,357.25
  4. Step 4: Simplify right side
    57,506,800.50x = 15,322,071,966,366,628
  5. Step 5: Solve for x
    x = 15,322,071,966,366,628/57,506,800.50
  6. Step 6: Final answer
    x = 266,439,305.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.