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Finding the Third Proportional to 76,135,684.50 and 112,820,897.25

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Solution

The third proportional to 76,135,684.50 and 112,820,897.25 is: 167,182,510.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,135,684.50 : 112,820,897.25 = 112,820,897.25 : x
  2. Step 2: Convert to fraction form
    76,135,684.50/112,820,897.25 = 112,820,897.25/x
  3. Step 3: Cross multiply
    76,135,684.50x = 112,820,897.25 × 112,820,897.25
  4. Step 4: Simplify right side
    76,135,684.50x = 12,728,554,856,295,058
  5. Step 5: Solve for x
    x = 12,728,554,856,295,058/76,135,684.50
  6. Step 6: Final answer
    x = 167,182,510.28

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.