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Finding the Third Proportional to 87,176,464 and 183,387,296

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Solution

The third proportional to 87,176,464 and 183,387,296 is: 385,779,587.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,176,464 : 183,387,296 = 183,387,296 : x
  2. Step 2: Convert to fraction form
    87,176,464/183,387,296 = 183,387,296/x
  3. Step 3: Cross multiply
    87,176,464x = 183,387,296 × 183,387,296
  4. Step 4: Simplify right side
    87,176,464x = 33,630,900,334,191,616
  5. Step 5: Solve for x
    x = 33,630,900,334,191,616/87,176,464
  6. Step 6: Final answer
    x = 385,779,587.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.