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Finding the Third Proportional to 102,472,258 and 223,138,982

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Solution

The third proportional to 102,472,258 and 223,138,982 is: 485,897,415.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,472,258 : 223,138,982 = 223,138,982 : x
  2. Step 2: Convert to fraction form
    102,472,258/223,138,982 = 223,138,982/x
  3. Step 3: Cross multiply
    102,472,258x = 223,138,982 × 223,138,982
  4. Step 4: Simplify right side
    102,472,258x = 49,791,005,287,996,320
  5. Step 5: Solve for x
    x = 49,791,005,287,996,320/102,472,258
  6. Step 6: Final answer
    x = 485,897,415.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.