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Finding the Third Proportional to 117,565,080.75 and 164,434,363.88

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Solution

The third proportional to 117,565,080.75 and 164,434,363.88 is: 229,988,869.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,565,080.75 : 164,434,363.88 = 164,434,363.88 : x
  2. Step 2: Convert to fraction form
    117,565,080.75/164,434,363.88 = 164,434,363.88/x
  3. Step 3: Cross multiply
    117,565,080.75x = 164,434,363.88 × 164,434,363.88
  4. Step 4: Simplify right side
    117,565,080.75x = 27,038,660,022,975,904
  5. Step 5: Solve for x
    x = 27,038,660,022,975,904/117,565,080.75
  6. Step 6: Final answer
    x = 229,988,869.57

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.