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Finding the Third Proportional to 100,006,730 and 150,276,363

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Solution

The third proportional to 100,006,730 and 150,276,363 is: 225,814,655.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,006,730 : 150,276,363 = 150,276,363 : x
  2. Step 2: Convert to fraction form
    100,006,730/150,276,363 = 150,276,363/x
  3. Step 3: Cross multiply
    100,006,730x = 150,276,363 × 150,276,363
  4. Step 4: Simplify right side
    100,006,730x = 22,582,985,276,507,768
  5. Step 5: Solve for x
    x = 22,582,985,276,507,768/100,006,730
  6. Step 6: Final answer
    x = 225,814,655.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.