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Finding the Third Proportional to 153,867,664 and 324,904,736

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Solution

The third proportional to 153,867,664 and 324,904,736 is: 686,064,145.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,867,664 : 324,904,736 = 324,904,736 : x
  2. Step 2: Convert to fraction form
    153,867,664/324,904,736 = 324,904,736/x
  3. Step 3: Cross multiply
    153,867,664x = 324,904,736 × 324,904,736
  4. Step 4: Simplify right side
    153,867,664x = 105,563,087,475,229,696
  5. Step 5: Solve for x
    x = 105,563,087,475,229,696/153,867,664
  6. Step 6: Final answer
    x = 686,064,145.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.