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Finding the Third Proportional to 143,254,243 and 306,948,188

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Solution

The third proportional to 143,254,243 and 306,948,188 is: 657,692,143.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,254,243 : 306,948,188 = 306,948,188 : x
  2. Step 2: Convert to fraction form
    143,254,243/306,948,188 = 306,948,188/x
  3. Step 3: Cross multiply
    143,254,243x = 306,948,188 × 306,948,188
  4. Step 4: Simplify right side
    143,254,243x = 94,217,190,116,483,344
  5. Step 5: Solve for x
    x = 94,217,190,116,483,344/143,254,243
  6. Step 6: Final answer
    x = 657,692,143.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.