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Finding the Third Proportional to 103,438,232 and 154,872,444

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Solution

The third proportional to 103,438,232 and 154,872,444 is: 231,882,094.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,438,232 : 154,872,444 = 154,872,444 : x
  2. Step 2: Convert to fraction form
    103,438,232/154,872,444 = 154,872,444/x
  3. Step 3: Cross multiply
    103,438,232x = 154,872,444 × 154,872,444
  4. Step 4: Simplify right side
    103,438,232x = 23,985,473,910,533,136
  5. Step 5: Solve for x
    x = 23,985,473,910,533,136/103,438,232
  6. Step 6: Final answer
    x = 231,882,094.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.