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Finding the Third Proportional to 80,139,897.75 and 127,000,985.63

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Solution

The third proportional to 80,139,897.75 and 127,000,985.63 is: 201,263,675.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,139,897.75 : 127,000,985.63 = 127,000,985.63 : x
  2. Step 2: Convert to fraction form
    80,139,897.75/127,000,985.63 = 127,000,985.63/x
  3. Step 3: Cross multiply
    80,139,897.75x = 127,000,985.63 × 127,000,985.63
  4. Step 4: Simplify right side
    80,139,897.75x = 16,129,250,349,721,456
  5. Step 5: Solve for x
    x = 16,129,250,349,721,456/80,139,897.75
  6. Step 6: Final answer
    x = 201,263,675.18

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.