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Finding the Third Proportional to 103,658,441 and 239,975,657

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Solution

The third proportional to 103,658,441 and 239,975,657 is: 555,558,383.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,658,441 : 239,975,657 = 239,975,657 : x
  2. Step 2: Convert to fraction form
    103,658,441/239,975,657 = 239,975,657/x
  3. Step 3: Cross multiply
    103,658,441x = 239,975,657 × 239,975,657
  4. Step 4: Simplify right side
    103,658,441x = 57,588,315,952,581,648
  5. Step 5: Solve for x
    x = 57,588,315,952,581,648/103,658,441
  6. Step 6: Final answer
    x = 555,558,383.83

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.