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Finding the Third Proportional to 109,431,427 and 170,772,294

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Solution

The third proportional to 109,431,427 and 170,772,294 is: 266,497,268.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,431,427 : 170,772,294 = 170,772,294 : x
  2. Step 2: Convert to fraction form
    109,431,427/170,772,294 = 170,772,294/x
  3. Step 3: Cross multiply
    109,431,427x = 170,772,294 × 170,772,294
  4. Step 4: Simplify right side
    109,431,427x = 29,163,176,398,022,436
  5. Step 5: Solve for x
    x = 29,163,176,398,022,436/109,431,427
  6. Step 6: Final answer
    x = 266,497,268.63

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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.