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Finding the Third Proportional to 65,301,214 and 94,397,769

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Solution

The third proportional to 65,301,214 and 94,397,769 is: 136,459,006.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,301,214 : 94,397,769 = 94,397,769 : x
  2. Step 2: Convert to fraction form
    65,301,214/94,397,769 = 94,397,769/x
  3. Step 3: Cross multiply
    65,301,214x = 94,397,769 × 94,397,769
  4. Step 4: Simplify right side
    65,301,214x = 8,910,938,792,177,361
  5. Step 5: Solve for x
    x = 8,910,938,792,177,361/65,301,214
  6. Step 6: Final answer
    x = 136,459,006.60

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.