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Finding the Third Proportional to 65,486,898 and 142,591,833

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Solution

The third proportional to 65,486,898 and 142,591,833 is: 310,480,897.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,486,898 : 142,591,833 = 142,591,833 : x
  2. Step 2: Convert to fraction form
    65,486,898/142,591,833 = 142,591,833/x
  3. Step 3: Cross multiply
    65,486,898x = 142,591,833 × 142,591,833
  4. Step 4: Simplify right side
    65,486,898x = 20,332,430,838,299,888
  5. Step 5: Solve for x
    x = 20,332,430,838,299,888/65,486,898
  6. Step 6: Final answer
    x = 310,480,897.08

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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.