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Finding the Third Proportional to 146,752,605 and 319,873,572

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Solution

The third proportional to 146,752,605 and 319,873,572 is: 697,221,709.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,752,605 : 319,873,572 = 319,873,572 : x
  2. Step 2: Convert to fraction form
    146,752,605/319,873,572 = 319,873,572/x
  3. Step 3: Cross multiply
    146,752,605x = 319,873,572 × 319,873,572
  4. Step 4: Simplify right side
    146,752,605x = 102,319,102,064,039,184
  5. Step 5: Solve for x
    x = 102,319,102,064,039,184/146,752,605
  6. Step 6: Final answer
    x = 697,221,709.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.