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Finding the Third Proportional to 145,354,780.34 and 223,420,808.46

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Solution

The third proportional to 145,354,780.34 and 223,420,808.46 is: 343,413,938.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,354,780.34 : 223,420,808.46 = 223,420,808.46 : x
  2. Step 2: Convert to fraction form
    145,354,780.34/223,420,808.46 = 223,420,808.46/x
  3. Step 3: Cross multiply
    145,354,780.34x = 223,420,808.46 × 223,420,808.46
  4. Step 4: Simplify right side
    145,354,780.34x = 49,916,857,653,340,040
  5. Step 5: Solve for x
    x = 49,916,857,653,340,040/145,354,780.34
  6. Step 6: Final answer
    x = 343,413,938.90

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.