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Finding the Third Proportional to 109,431,432 and 170,772,300

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Solution

The third proportional to 109,431,432 and 170,772,300 is: 266,497,275.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,431,432 : 170,772,300 = 170,772,300 : x
  2. Step 2: Convert to fraction form
    109,431,432/170,772,300 = 170,772,300/x
  3. Step 3: Cross multiply
    109,431,432x = 170,772,300 × 170,772,300
  4. Step 4: Simplify right side
    109,431,432x = 29,163,178,447,290,000
  5. Step 5: Solve for x
    x = 29,163,178,447,290,000/109,431,432
  6. Step 6: Final answer
    x = 266,497,275.18

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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.