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Finding the Third Proportional to 148,693,370.63 and 209,023,329.94

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Solution

The third proportional to 148,693,370.63 and 209,023,329.94 is: 293,831,206.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,693,370.63 : 209,023,329.94 = 209,023,329.94 : x
  2. Step 2: Convert to fraction form
    148,693,370.63/209,023,329.94 = 209,023,329.94/x
  3. Step 3: Cross multiply
    148,693,370.63x = 209,023,329.94 × 209,023,329.94
  4. Step 4: Simplify right side
    148,693,370.63x = 43,690,752,458,160,984
  5. Step 5: Solve for x
    x = 43,690,752,458,160,984/148,693,370.63
  6. Step 6: Final answer
    x = 293,831,206.29

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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.