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Finding the Third Proportional to 187,518,489 and 403,838,256

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Solution

The third proportional to 187,518,489 and 403,838,256 is: 869,702,704.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,518,489 : 403,838,256 = 403,838,256 : x
  2. Step 2: Convert to fraction form
    187,518,489/403,838,256 = 403,838,256/x
  3. Step 3: Cross multiply
    187,518,489x = 403,838,256 × 403,838,256
  4. Step 4: Simplify right side
    187,518,489x = 163,085,337,009,121,536
  5. Step 5: Solve for x
    x = 163,085,337,009,121,536/187,518,489
  6. Step 6: Final answer
    x = 869,702,704.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.