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Finding the Third Proportional to 108,423,357.75 and 165,175,987.50

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Solution

The third proportional to 108,423,357.75 and 165,175,987.50 is: 251,634,955.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,423,357.75 : 165,175,987.50 = 165,175,987.50 : x
  2. Step 2: Convert to fraction form
    108,423,357.75/165,175,987.50 = 165,175,987.50/x
  3. Step 3: Cross multiply
    108,423,357.75x = 165,175,987.50 × 165,175,987.50
  4. Step 4: Simplify right side
    108,423,357.75x = 27,283,106,846,600,156
  5. Step 5: Solve for x
    x = 27,283,106,846,600,156/108,423,357.75
  6. Step 6: Final answer
    x = 251,634,955.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.