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Finding the Third Proportional to 65,727,084 and 102,310,854

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Solution

The third proportional to 65,727,084 and 102,310,854 is: 159,257,192.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,727,084 : 102,310,854 = 102,310,854 : x
  2. Step 2: Convert to fraction form
    65,727,084/102,310,854 = 102,310,854/x
  3. Step 3: Cross multiply
    65,727,084x = 102,310,854 × 102,310,854
  4. Step 4: Simplify right side
    65,727,084x = 10,467,510,846,209,316
  5. Step 5: Solve for x
    x = 10,467,510,846,209,316/65,727,084
  6. Step 6: Final answer
    x = 159,257,192.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.