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Finding the Third Proportional to 181,085,734 and 392,255,036

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Solution

The third proportional to 181,085,734 and 392,255,036 is: 849,674,957.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,085,734 : 392,255,036 = 392,255,036 : x
  2. Step 2: Convert to fraction form
    181,085,734/392,255,036 = 392,255,036/x
  3. Step 3: Cross multiply
    181,085,734x = 392,255,036 × 392,255,036
  4. Step 4: Simplify right side
    181,085,734x = 153,864,013,267,361,280
  5. Step 5: Solve for x
    x = 153,864,013,267,361,280/181,085,734
  6. Step 6: Final answer
    x = 849,674,957.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.