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Finding the Third Proportional to 100,791,880,540 and 215,960,346,461

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Solution

The third proportional to 100,791,880,540 and 215,960,346,461 is: 462,724,487,267.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,791,880,540 : 215,960,346,461 = 215,960,346,461 : x
  2. Step 2: Convert to fraction form
    100,791,880,540/215,960,346,461 = 215,960,346,461/x
  3. Step 3: Cross multiply
    100,791,880,540x = 215,960,346,461 × 215,960,346,461
  4. Step 4: Simplify right side
    100,791,880,540x = 46,638,871,243,555,157,835,776
  5. Step 5: Solve for x
    x = 46,638,871,243,555,157,835,776/100,791,880,540
  6. Step 6: Final answer
    x = 462,724,487,267.07

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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.