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Finding the Third Proportional to 147,267,200 and 230,515,392

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Solution

The third proportional to 147,267,200 and 230,515,392 is: 360,822,681.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,267,200 : 230,515,392 = 230,515,392 : x
  2. Step 2: Convert to fraction form
    147,267,200/230,515,392 = 230,515,392/x
  3. Step 3: Cross multiply
    147,267,200x = 230,515,392 × 230,515,392
  4. Step 4: Simplify right side
    147,267,200x = 53,137,345,948,913,664
  5. Step 5: Solve for x
    x = 53,137,345,948,913,664/147,267,200
  6. Step 6: Final answer
    x = 360,822,681.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.