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Finding the Third Proportional to 125,457,484 and 261,225,014

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Solution

The third proportional to 125,457,484 and 261,225,014 is: 543,917,395.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,457,484 : 261,225,014 = 261,225,014 : x
  2. Step 2: Convert to fraction form
    125,457,484/261,225,014 = 261,225,014/x
  3. Step 3: Cross multiply
    125,457,484x = 261,225,014 × 261,225,014
  4. Step 4: Simplify right side
    125,457,484x = 68,238,507,939,300,192
  5. Step 5: Solve for x
    x = 68,238,507,939,300,192/125,457,484
  6. Step 6: Final answer
    x = 543,917,395.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.