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Finding the Third Proportional to 42,590,575,971 and 92,248,773,084

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Solution

The third proportional to 42,590,575,971 and 92,248,773,084 is: 199,805,612,896.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,590,575,971 : 92,248,773,084 = 92,248,773,084 : x
  2. Step 2: Convert to fraction form
    42,590,575,971/92,248,773,084 = 92,248,773,084/x
  3. Step 3: Cross multiply
    42,590,575,971x = 92,248,773,084 × 92,248,773,084
  4. Step 4: Simplify right side
    42,590,575,971x = 8,509,836,135,503,323,201,536
  5. Step 5: Solve for x
    x = 8,509,836,135,503,323,201,536/42,590,575,971
  6. Step 6: Final answer
    x = 199,805,612,896.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.