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Finding the Third Proportional to 71,831,312,283 and 101,025,934,836

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Solution

The third proportional to 71,831,312,283 and 101,025,934,836 is: 142,086,218,184.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,831,312,283 : 101,025,934,836 = 101,025,934,836 : x
  2. Step 2: Convert to fraction form
    71,831,312,283/101,025,934,836 = 101,025,934,836/x
  3. Step 3: Cross multiply
    71,831,312,283x = 101,025,934,836 × 101,025,934,836
  4. Step 4: Simplify right side
    71,831,312,283x = 10,206,239,509,487,718,236,160
  5. Step 5: Solve for x
    x = 10,206,239,509,487,718,236,160/71,831,312,283
  6. Step 6: Final answer
    x = 142,086,218,184.03

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.