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Finding the Third Proportional to 148,223,568 and 326,602,464

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Solution

The third proportional to 148,223,568 and 326,602,464 is: 719,650,531.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,223,568 : 326,602,464 = 326,602,464 : x
  2. Step 2: Convert to fraction form
    148,223,568/326,602,464 = 326,602,464/x
  3. Step 3: Cross multiply
    148,223,568x = 326,602,464 × 326,602,464
  4. Step 4: Simplify right side
    148,223,568x = 106,669,169,490,871,296
  5. Step 5: Solve for x
    x = 106,669,169,490,871,296/148,223,568
  6. Step 6: Final answer
    x = 719,650,531.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.