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Finding the Third Proportional to 102,465,382 and 158,486,146

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Solution

The third proportional to 102,465,382 and 158,486,146 is: 245,135,068.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,465,382 : 158,486,146 = 158,486,146 : x
  2. Step 2: Convert to fraction form
    102,465,382/158,486,146 = 158,486,146/x
  3. Step 3: Cross multiply
    102,465,382x = 158,486,146 × 158,486,146
  4. Step 4: Simplify right side
    102,465,382x = 25,117,858,473,933,316
  5. Step 5: Solve for x
    x = 25,117,858,473,933,316/102,465,382
  6. Step 6: Final answer
    x = 245,135,068.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.