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Finding the Third Proportional to 185,235,696 and 272,304,072

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Solution

The third proportional to 185,235,696 and 272,304,072 is: 400,298,156.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,235,696 : 272,304,072 = 272,304,072 : x
  2. Step 2: Convert to fraction form
    185,235,696/272,304,072 = 272,304,072/x
  3. Step 3: Cross multiply
    185,235,696x = 272,304,072 × 272,304,072
  4. Step 4: Simplify right side
    185,235,696x = 74,149,507,627,781,184
  5. Step 5: Solve for x
    x = 74,149,507,627,781,184/185,235,696
  6. Step 6: Final answer
    x = 400,298,156.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.