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Finding the Third Proportional to 101,223,284,513 and 217,680,325,294

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Solution

The third proportional to 101,223,284,513 and 217,680,325,294 is: 468,120,791,061.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,223,284,513 : 217,680,325,294 = 217,680,325,294 : x
  2. Step 2: Convert to fraction form
    101,223,284,513/217,680,325,294 = 217,680,325,294/x
  3. Step 3: Cross multiply
    101,223,284,513x = 217,680,325,294 × 217,680,325,294
  4. Step 4: Simplify right side
    101,223,284,513x = 47,384,724,020,101,658,968,064
  5. Step 5: Solve for x
    x = 47,384,724,020,101,658,968,064/101,223,284,513
  6. Step 6: Final answer
    x = 468,120,791,061.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.