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Finding the Third Proportional to 38,869,060 and 85,060,231

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Solution

The third proportional to 38,869,060 and 85,060,231 is: 186,144,015.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,869,060 : 85,060,231 = 85,060,231 : x
  2. Step 2: Convert to fraction form
    38,869,060/85,060,231 = 85,060,231/x
  3. Step 3: Cross multiply
    38,869,060x = 85,060,231 × 85,060,231
  4. Step 4: Simplify right side
    38,869,060x = 7,235,242,897,773,361
  5. Step 5: Solve for x
    x = 7,235,242,897,773,361/38,869,060
  6. Step 6: Final answer
    x = 186,144,015.26

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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.