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Finding the Third Proportional to 92,119,999,924 and 141,532,198,602

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Solution

The third proportional to 92,119,999,924 and 141,532,198,602 is: 217,448,580,738.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,119,999,924 : 141,532,198,602 = 141,532,198,602 : x
  2. Step 2: Convert to fraction form
    92,119,999,924/141,532,198,602 = 141,532,198,602/x
  3. Step 3: Cross multiply
    92,119,999,924x = 141,532,198,602 × 141,532,198,602
  4. Step 4: Simplify right side
    92,119,999,924x = 20,031,363,241,115,968,864,256
  5. Step 5: Solve for x
    x = 20,031,363,241,115,968,864,256/92,119,999,924
  6. Step 6: Final answer
    x = 217,448,580,738.62

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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.