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Finding the Third Proportional to 81,762,064.88 and 125,674,205.06

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Solution

The third proportional to 81,762,064.88 and 125,674,205.06 is: 193,170,339.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,762,064.88 : 125,674,205.06 = 125,674,205.06 : x
  2. Step 2: Convert to fraction form
    81,762,064.88/125,674,205.06 = 125,674,205.06/x
  3. Step 3: Cross multiply
    81,762,064.88x = 125,674,205.06 × 125,674,205.06
  4. Step 4: Simplify right side
    81,762,064.88x = 15,794,005,818,091,300
  5. Step 5: Solve for x
    x = 15,794,005,818,091,300/81,762,064.88
  6. Step 6: Final answer
    x = 193,170,339.35

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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.