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Finding the Third Proportional to 61,663,839,396 and 98,119,290,612

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Solution

The third proportional to 61,663,839,396 and 98,119,290,612 is: 156,127,080,060.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,663,839,396 : 98,119,290,612 = 98,119,290,612 : x
  2. Step 2: Convert to fraction form
    61,663,839,396/98,119,290,612 = 98,119,290,612/x
  3. Step 3: Cross multiply
    61,663,839,396x = 98,119,290,612 × 98,119,290,612
  4. Step 4: Simplify right side
    61,663,839,396x = 9,627,395,190,202,111,623,168
  5. Step 5: Solve for x
    x = 9,627,395,190,202,111,623,168/61,663,839,396
  6. Step 6: Final answer
    x = 156,127,080,060.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.