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Finding the Third Proportional to 125,186,656 and 268,884,066

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Solution

The third proportional to 125,186,656 and 268,884,066 is: 577,526,736.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,186,656 : 268,884,066 = 268,884,066 : x
  2. Step 2: Convert to fraction form
    125,186,656/268,884,066 = 268,884,066/x
  3. Step 3: Cross multiply
    125,186,656x = 268,884,066 × 268,884,066
  4. Step 4: Simplify right side
    125,186,656x = 72,298,640,948,692,352
  5. Step 5: Solve for x
    x = 72,298,640,948,692,352/125,186,656
  6. Step 6: Final answer
    x = 577,526,736.94

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Why These Related Problems?

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