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Finding the Third Proportional to 107,870,137 and 237,727,643

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Solution

The third proportional to 107,870,137 and 237,727,643 is: 523,911,749.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,870,137 : 237,727,643 = 237,727,643 : x
  2. Step 2: Convert to fraction form
    107,870,137/237,727,643 = 237,727,643/x
  3. Step 3: Cross multiply
    107,870,137x = 237,727,643 × 237,727,643
  4. Step 4: Simplify right side
    107,870,137x = 56,514,432,246,335,448
  5. Step 5: Solve for x
    x = 56,514,432,246,335,448/107,870,137
  6. Step 6: Final answer
    x = 523,911,749.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.