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Finding the Third Proportional to 158,535,459 and 223,254,171

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Solution

The third proportional to 158,535,459 and 223,254,171 is: 314,392,913.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,535,459 : 223,254,171 = 223,254,171 : x
  2. Step 2: Convert to fraction form
    158,535,459/223,254,171 = 223,254,171/x
  3. Step 3: Cross multiply
    158,535,459x = 223,254,171 × 223,254,171
  4. Step 4: Simplify right side
    158,535,459x = 49,842,424,868,897,240
  5. Step 5: Solve for x
    x = 49,842,424,868,897,240/158,535,459
  6. Step 6: Final answer
    x = 314,392,913.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.