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Finding the Third Proportional to 113,207,616 and 242,560,206

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Solution

The third proportional to 113,207,616 and 242,560,206 is: 519,712,856.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,207,616 : 242,560,206 = 242,560,206 : x
  2. Step 2: Convert to fraction form
    113,207,616/242,560,206 = 242,560,206/x
  3. Step 3: Cross multiply
    113,207,616x = 242,560,206 × 242,560,206
  4. Step 4: Simplify right side
    113,207,616x = 58,835,453,534,762,432
  5. Step 5: Solve for x
    x = 58,835,453,534,762,432/113,207,616
  6. Step 6: Final answer
    x = 519,712,856.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.