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Finding the Third Proportional to 102,234,748 and 220,058,396

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Solution

The third proportional to 102,234,748 and 220,058,396 is: 473,671,609.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,234,748 : 220,058,396 = 220,058,396 : x
  2. Step 2: Convert to fraction form
    102,234,748/220,058,396 = 220,058,396/x
  3. Step 3: Cross multiply
    102,234,748x = 220,058,396 × 220,058,396
  4. Step 4: Simplify right side
    102,234,748x = 48,425,697,650,092,816
  5. Step 5: Solve for x
    x = 48,425,697,650,092,816/102,234,748
  6. Step 6: Final answer
    x = 473,671,609.68

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