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Finding the Third Proportional to 97,272,380 and 151,797,594

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Solution

The third proportional to 97,272,380 and 151,797,594 is: 236,886,457.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,272,380 : 151,797,594 = 151,797,594 : x
  2. Step 2: Convert to fraction form
    97,272,380/151,797,594 = 151,797,594/x
  3. Step 3: Cross multiply
    97,272,380x = 151,797,594 × 151,797,594
  4. Step 4: Simplify right side
    97,272,380x = 23,042,509,544,188,836
  5. Step 5: Solve for x
    x = 23,042,509,544,188,836/97,272,380
  6. Step 6: Final answer
    x = 236,886,457.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.