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Finding the Third Proportional to 126,766,358 and 277,834,659.50

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Solution

The third proportional to 126,766,358 and 277,834,659.50 is: 608,932,048.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,766,358 : 277,834,659.50 = 277,834,659.50 : x
  2. Step 2: Convert to fraction form
    126,766,358/277,834,659.50 = 277,834,659.50/x
  3. Step 3: Cross multiply
    126,766,358x = 277,834,659.50 × 277,834,659.50
  4. Step 4: Simplify right side
    126,766,358x = 77,192,098,019,480,944
  5. Step 5: Solve for x
    x = 77,192,098,019,480,944/126,766,358
  6. Step 6: Final answer
    x = 608,932,048.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.