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Finding the Third Proportional to 306,957,121.50 and 471,820,111.50

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Solution

The third proportional to 306,957,121.50 and 471,820,111.50 is: 725,229,036.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,957,121.50 : 471,820,111.50 = 471,820,111.50 : x
  2. Step 2: Convert to fraction form
    306,957,121.50/471,820,111.50 = 471,820,111.50/x
  3. Step 3: Cross multiply
    306,957,121.50x = 471,820,111.50 × 471,820,111.50
  4. Step 4: Simplify right side
    306,957,121.50x = 222,614,217,615,872,448
  5. Step 5: Solve for x
    x = 222,614,217,615,872,448/306,957,121.50
  6. Step 6: Final answer
    x = 725,229,036.97

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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.