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Finding the Third Proportional to 107,716,473 and 170,592,596

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Solution

The third proportional to 107,716,473 and 170,592,596 is: 270,170,689.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,716,473 : 170,592,596 = 170,592,596 : x
  2. Step 2: Convert to fraction form
    107,716,473/170,592,596 = 170,592,596/x
  3. Step 3: Cross multiply
    107,716,473x = 170,592,596 × 170,592,596
  4. Step 4: Simplify right side
    107,716,473x = 29,101,833,810,019,216
  5. Step 5: Solve for x
    x = 29,101,833,810,019,216/107,716,473
  6. Step 6: Final answer
    x = 270,170,689.77

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.