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Finding the Third Proportional to 292,850,599 and 388,656,141

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Solution

The third proportional to 292,850,599 and 388,656,141 is: 515,804,292.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,850,599 : 388,656,141 = 388,656,141 : x
  2. Step 2: Convert to fraction form
    292,850,599/388,656,141 = 388,656,141/x
  3. Step 3: Cross multiply
    292,850,599x = 388,656,141 × 388,656,141
  4. Step 4: Simplify right side
    292,850,599x = 151,053,595,937,011,872
  5. Step 5: Solve for x
    x = 151,053,595,937,011,872/292,850,599
  6. Step 6: Final answer
    x = 515,804,292.20

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.