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Finding the Third Proportional to 73,118,223 and 158,823,197.50

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Solution

The third proportional to 73,118,223 and 158,823,197.50 is: 344,986,612.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,118,223 : 158,823,197.50 = 158,823,197.50 : x
  2. Step 2: Convert to fraction form
    73,118,223/158,823,197.50 = 158,823,197.50/x
  3. Step 3: Cross multiply
    73,118,223x = 158,823,197.50 × 158,823,197.50
  4. Step 4: Simplify right side
    73,118,223x = 25,224,808,064,124,008
  5. Step 5: Solve for x
    x = 25,224,808,064,124,008/73,118,223
  6. Step 6: Final answer
    x = 344,986,612.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.