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Finding the Third Proportional to 190,483,156 and 413,438,792

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Solution

The third proportional to 190,483,156 and 413,438,792 is: 897,358,266.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,483,156 : 413,438,792 = 413,438,792 : x
  2. Step 2: Convert to fraction form
    190,483,156/413,438,792 = 413,438,792/x
  3. Step 3: Cross multiply
    190,483,156x = 413,438,792 × 413,438,792
  4. Step 4: Simplify right side
    190,483,156x = 170,931,634,730,419,264
  5. Step 5: Solve for x
    x = 170,931,634,730,419,264/190,483,156
  6. Step 6: Final answer
    x = 897,358,266.84

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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.