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Finding the Third Proportional to 133,748,881.50 and 188,347,898.25

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Solution

The third proportional to 133,748,881.50 and 188,347,898.25 is: 265,235,345.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,748,881.50 : 188,347,898.25 = 188,347,898.25 : x
  2. Step 2: Convert to fraction form
    133,748,881.50/188,347,898.25 = 188,347,898.25/x
  3. Step 3: Cross multiply
    133,748,881.50x = 188,347,898.25 × 188,347,898.25
  4. Step 4: Simplify right side
    133,748,881.50x = 35,474,930,775,192,352
  5. Step 5: Solve for x
    x = 35,474,930,775,192,352/133,748,881.50
  6. Step 6: Final answer
    x = 265,235,345.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.