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Finding the Third Proportional to 148,626,464 and 310,804,672

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Solution

The third proportional to 148,626,464 and 310,804,672 is: 649,948,478.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,626,464 : 310,804,672 = 310,804,672 : x
  2. Step 2: Convert to fraction form
    148,626,464/310,804,672 = 310,804,672/x
  3. Step 3: Cross multiply
    148,626,464x = 310,804,672 × 310,804,672
  4. Step 4: Simplify right side
    148,626,464x = 96,599,544,137,027,584
  5. Step 5: Solve for x
    x = 96,599,544,137,027,584/148,626,464
  6. Step 6: Final answer
    x = 649,948,478.47

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.