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Finding the Third Proportional to 77,580,564.75 and 116,157,067.88

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Solution

The third proportional to 77,580,564.75 and 116,157,067.88 is: 173,915,522.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,580,564.75 : 116,157,067.88 = 116,157,067.88 : x
  2. Step 2: Convert to fraction form
    77,580,564.75/116,157,067.88 = 116,157,067.88/x
  3. Step 3: Cross multiply
    77,580,564.75x = 116,157,067.88 × 116,157,067.88
  4. Step 4: Simplify right side
    77,580,564.75x = 13,492,464,417,317,358
  5. Step 5: Solve for x
    x = 13,492,464,417,317,358/77,580,564.75
  6. Step 6: Final answer
    x = 173,915,522.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.