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Finding the Third Proportional to 81,127,160,297 and 173,419,070,290

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Solution

The third proportional to 81,127,160,297 and 173,419,070,290 is: 370,704,136,939.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,127,160,297 : 173,419,070,290 = 173,419,070,290 : x
  2. Step 2: Convert to fraction form
    81,127,160,297/173,419,070,290 = 173,419,070,290/x
  3. Step 3: Cross multiply
    81,127,160,297x = 173,419,070,290 × 173,419,070,290
  4. Step 4: Simplify right side
    81,127,160,297x = 30,074,173,940,247,960,748,032
  5. Step 5: Solve for x
    x = 30,074,173,940,247,960,748,032/81,127,160,297
  6. Step 6: Final answer
    x = 370,704,136,939.45

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.