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Finding the Third Proportional to 153,867,666 and 324,904,740

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Solution

The third proportional to 153,867,666 and 324,904,740 is: 686,064,153.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,867,666 : 324,904,740 = 324,904,740 : x
  2. Step 2: Convert to fraction form
    153,867,666/324,904,740 = 324,904,740/x
  3. Step 3: Cross multiply
    153,867,666x = 324,904,740 × 324,904,740
  4. Step 4: Simplify right side
    153,867,666x = 105,563,090,074,467,600
  5. Step 5: Solve for x
    x = 105,563,090,074,467,600/153,867,666
  6. Step 6: Final answer
    x = 686,064,153.82

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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.