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Finding the Third Proportional to 237,337,142 and 492,864,292

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Solution

The third proportional to 237,337,142 and 492,864,292 is: 1,023,502,719.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,337,142 : 492,864,292 = 492,864,292 : x
  2. Step 2: Convert to fraction form
    237,337,142/492,864,292 = 492,864,292/x
  3. Step 3: Cross multiply
    237,337,142x = 492,864,292 × 492,864,292
  4. Step 4: Simplify right side
    237,337,142x = 242,915,210,328,661,248
  5. Step 5: Solve for x
    x = 242,915,210,328,661,248/237,337,142
  6. Step 6: Final answer
    x = 1,023,502,719.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.