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Finding the Third Proportional to 153,867,672 and 324,904,752

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Solution

The third proportional to 153,867,672 and 324,904,752 is: 686,064,177.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,867,672 : 324,904,752 = 324,904,752 : x
  2. Step 2: Convert to fraction form
    153,867,672/324,904,752 = 324,904,752/x
  3. Step 3: Cross multiply
    153,867,672x = 324,904,752 × 324,904,752
  4. Step 4: Simplify right side
    153,867,672x = 105,563,097,872,181,504
  5. Step 5: Solve for x
    x = 105,563,097,872,181,504/153,867,672
  6. Step 6: Final answer
    x = 686,064,177.74

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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.