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Finding the Third Proportional to 100,791,880,764 and 215,960,346,894

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Solution

The third proportional to 100,791,880,764 and 215,960,346,894 is: 462,724,488,094.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,791,880,764 : 215,960,346,894 = 215,960,346,894 : x
  2. Step 2: Convert to fraction form
    100,791,880,764/215,960,346,894 = 215,960,346,894/x
  3. Step 3: Cross multiply
    100,791,880,764x = 215,960,346,894 × 215,960,346,894
  4. Step 4: Simplify right side
    100,791,880,764x = 46,638,871,430,576,815,996,928
  5. Step 5: Solve for x
    x = 46,638,871,430,576,815,996,928/100,791,880,764
  6. Step 6: Final answer
    x = 462,724,488,094.23

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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.