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Finding the Third Proportional to 148,033,320.75 and 320,778,648

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Solution

The third proportional to 148,033,320.75 and 320,778,648 is: 695,106,618.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,033,320.75 : 320,778,648 = 320,778,648 : x
  2. Step 2: Convert to fraction form
    148,033,320.75/320,778,648 = 320,778,648/x
  3. Step 3: Cross multiply
    148,033,320.75x = 320,778,648 × 320,778,648
  4. Step 4: Simplify right side
    148,033,320.75x = 102,898,941,012,707,904
  5. Step 5: Solve for x
    x = 102,898,941,012,707,904/148,033,320.75
  6. Step 6: Final answer
    x = 695,106,618.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.