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Finding the Third Proportional to 153,450,348 and 328,733,976

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Solution

The third proportional to 153,450,348 and 328,733,976 is: 704,241,002.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,450,348 : 328,733,976 = 328,733,976 : x
  2. Step 2: Convert to fraction form
    153,450,348/328,733,976 = 328,733,976/x
  3. Step 3: Cross multiply
    153,450,348x = 328,733,976 × 328,733,976
  4. Step 4: Simplify right side
    153,450,348x = 108,066,026,976,768,576
  5. Step 5: Solve for x
    x = 108,066,026,976,768,576/153,450,348
  6. Step 6: Final answer
    x = 704,241,002.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.