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Finding the Third Proportional to 98,888,850 and 145,474,934.34

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Solution

The third proportional to 98,888,850 and 145,474,934.34 is: 214,007,509.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,888,850 : 145,474,934.34 = 145,474,934.34 : x
  2. Step 2: Convert to fraction form
    98,888,850/145,474,934.34 = 145,474,934.34/x
  3. Step 3: Cross multiply
    98,888,850x = 145,474,934.34 × 145,474,934.34
  4. Step 4: Simplify right side
    98,888,850x = 21,162,956,522,318,372
  5. Step 5: Solve for x
    x = 21,162,956,522,318,372/98,888,850
  6. Step 6: Final answer
    x = 214,007,509.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.