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Finding the Third Proportional to 52,575,376.85 and 115,045,151.77

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Solution

The third proportional to 52,575,376.85 and 115,045,151.77 is: 251,741,171.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,575,376.85 : 115,045,151.77 = 115,045,151.77 : x
  2. Step 2: Convert to fraction form
    52,575,376.85/115,045,151.77 = 115,045,151.77/x
  3. Step 3: Cross multiply
    52,575,376.85x = 115,045,151.77 × 115,045,151.77
  4. Step 4: Simplify right side
    52,575,376.85x = 13,235,386,944,774,538
  5. Step 5: Solve for x
    x = 13,235,386,944,774,538/52,575,376.85
  6. Step 6: Final answer
    x = 251,741,171.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.