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Finding the Third Proportional to 86,201,778 and 129,176,254

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Solution

The third proportional to 86,201,778 and 129,176,254 is: 193,574,946.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,201,778 : 129,176,254 = 129,176,254 : x
  2. Step 2: Convert to fraction form
    86,201,778/129,176,254 = 129,176,254/x
  3. Step 3: Cross multiply
    86,201,778x = 129,176,254 × 129,176,254
  4. Step 4: Simplify right side
    86,201,778x = 16,686,504,597,472,516
  5. Step 5: Solve for x
    x = 16,686,504,597,472,516/86,201,778
  6. Step 6: Final answer
    x = 193,574,946.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.