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Finding the Third Proportional to 65,191,554 and 138,154,572

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Solution

The third proportional to 65,191,554 and 138,154,572 is: 292,778,505.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,191,554 : 138,154,572 = 138,154,572 : x
  2. Step 2: Convert to fraction form
    65,191,554/138,154,572 = 138,154,572/x
  3. Step 3: Cross multiply
    65,191,554x = 138,154,572 × 138,154,572
  4. Step 4: Simplify right side
    65,191,554x = 19,086,685,764,503,184
  5. Step 5: Solve for x
    x = 19,086,685,764,503,184/65,191,554
  6. Step 6: Final answer
    x = 292,778,505.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.