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Finding the Third Proportional to 89,730,942 and 195,208,284

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Solution

The third proportional to 89,730,942 and 195,208,284 is: 424,672,618.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,730,942 : 195,208,284 = 195,208,284 : x
  2. Step 2: Convert to fraction form
    89,730,942/195,208,284 = 195,208,284/x
  3. Step 3: Cross multiply
    89,730,942x = 195,208,284 × 195,208,284
  4. Step 4: Simplify right side
    89,730,942x = 38,106,274,142,224,656
  5. Step 5: Solve for x
    x = 38,106,274,142,224,656/89,730,942
  6. Step 6: Final answer
    x = 424,672,618.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.