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Finding the Third Proportional to 148,665,678.75 and 325,919,700

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Solution

The third proportional to 148,665,678.75 and 325,919,700 is: 714,513,610.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,665,678.75 : 325,919,700 = 325,919,700 : x
  2. Step 2: Convert to fraction form
    148,665,678.75/325,919,700 = 325,919,700/x
  3. Step 3: Cross multiply
    148,665,678.75x = 325,919,700 × 325,919,700
  4. Step 4: Simplify right side
    148,665,678.75x = 106,223,650,848,090,000
  5. Step 5: Solve for x
    x = 106,223,650,848,090,000/148,665,678.75
  6. Step 6: Final answer
    x = 714,513,610.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.