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Finding the Third Proportional to 199,001,952 and 430,600,410

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Solution

The third proportional to 199,001,952 and 430,600,410 is: 931,733,137.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,001,952 : 430,600,410 = 430,600,410 : x
  2. Step 2: Convert to fraction form
    199,001,952/430,600,410 = 430,600,410/x
  3. Step 3: Cross multiply
    199,001,952x = 430,600,410 × 430,600,410
  4. Step 4: Simplify right side
    199,001,952x = 185,416,713,092,168,096
  5. Step 5: Solve for x
    x = 185,416,713,092,168,096/199,001,952
  6. Step 6: Final answer
    x = 931,733,137.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.