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Finding the Third Proportional to 92,119,999,956 and 141,532,198,646

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Solution

The third proportional to 92,119,999,956 and 141,532,198,646 is: 217,448,580,798.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,119,999,956 : 141,532,198,646 = 141,532,198,646 : x
  2. Step 2: Convert to fraction form
    92,119,999,956/141,532,198,646 = 141,532,198,646/x
  3. Step 3: Cross multiply
    92,119,999,956x = 141,532,198,646 × 141,532,198,646
  4. Step 4: Simplify right side
    92,119,999,956x = 20,031,363,253,570,803,597,312
  5. Step 5: Solve for x
    x = 20,031,363,253,570,803,597,312/92,119,999,956
  6. Step 6: Final answer
    x = 217,448,580,798.29

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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.