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Finding the Third Proportional to 91,836,864,054 and 142,590,486,612

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Solution

The third proportional to 91,836,864,054 and 142,590,486,612 is: 221,393,087,423.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,836,864,054 : 142,590,486,612 = 142,590,486,612 : x
  2. Step 2: Convert to fraction form
    91,836,864,054/142,590,486,612 = 142,590,486,612/x
  3. Step 3: Cross multiply
    91,836,864,054x = 142,590,486,612 × 142,590,486,612
  4. Step 4: Simplify right side
    91,836,864,054x = 20,332,046,872,246,950,559,744
  5. Step 5: Solve for x
    x = 20,332,046,872,246,950,559,744/91,836,864,054
  6. Step 6: Final answer
    x = 221,393,087,423.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.