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Finding the Third Proportional to 100,791,880,541.50 and 215,960,346,464

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Solution

The third proportional to 100,791,880,541.50 and 215,960,346,464 is: 462,724,487,273.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,791,880,541.50 : 215,960,346,464 = 215,960,346,464 : x
  2. Step 2: Convert to fraction form
    100,791,880,541.50/215,960,346,464 = 215,960,346,464/x
  3. Step 3: Cross multiply
    100,791,880,541.50x = 215,960,346,464 × 215,960,346,464
  4. Step 4: Simplify right side
    100,791,880,541.50x = 46,638,871,244,850,920,947,712
  5. Step 5: Solve for x
    x = 46,638,871,244,850,920,947,712/100,791,880,541.50
  6. Step 6: Final answer
    x = 462,724,487,273.04

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Why These Related Problems?

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