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Finding the Third Proportional to 71,575,488 and 110,153,378.25

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Solution

The third proportional to 71,575,488 and 110,153,378.25 is: 169,524,051.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,575,488 : 110,153,378.25 = 110,153,378.25 : x
  2. Step 2: Convert to fraction form
    71,575,488/110,153,378.25 = 110,153,378.25/x
  3. Step 3: Cross multiply
    71,575,488x = 110,153,378.25 × 110,153,378.25
  4. Step 4: Simplify right side
    71,575,488x = 12,133,766,739,887,574
  5. Step 5: Solve for x
    x = 12,133,766,739,887,574/71,575,488
  6. Step 6: Final answer
    x = 169,524,051.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.