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Finding the Third Proportional to 129,650,234,808 and 280,943,033,712

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Solution

The third proportional to 129,650,234,808 and 280,943,033,712 is: 608,783,997,253.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,650,234,808 : 280,943,033,712 = 280,943,033,712 : x
  2. Step 2: Convert to fraction form
    129,650,234,808/280,943,033,712 = 280,943,033,712/x
  3. Step 3: Cross multiply
    129,650,234,808x = 280,943,033,712 × 280,943,033,712
  4. Step 4: Simplify right side
    129,650,234,808x = 78,928,988,191,301,964,922,880
  5. Step 5: Solve for x
    x = 78,928,988,191,301,964,922,880/129,650,234,808
  6. Step 6: Final answer
    x = 608,783,997,253.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.