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Finding the Third Proportional to 84,574,098.75 and 134,575,415.25

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Solution

The third proportional to 84,574,098.75 and 134,575,415.25 is: 214,138,165.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,574,098.75 : 134,575,415.25 = 134,575,415.25 : x
  2. Step 2: Convert to fraction form
    84,574,098.75/134,575,415.25 = 134,575,415.25/x
  3. Step 3: Cross multiply
    84,574,098.75x = 134,575,415.25 × 134,575,415.25
  4. Step 4: Simplify right side
    84,574,098.75x = 18,110,542,389,709,932
  5. Step 5: Solve for x
    x = 18,110,542,389,709,932/84,574,098.75
  6. Step 6: Final answer
    x = 214,138,165.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.