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Finding the Third Proportional to 192,125,688 and 413,430,264

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Solution

The third proportional to 192,125,688 and 413,430,264 is: 889,649,817.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,125,688 : 413,430,264 = 413,430,264 : x
  2. Step 2: Convert to fraction form
    192,125,688/413,430,264 = 413,430,264/x
  3. Step 3: Cross multiply
    192,125,688x = 413,430,264 × 413,430,264
  4. Step 4: Simplify right side
    192,125,688x = 170,924,583,191,109,696
  5. Step 5: Solve for x
    x = 170,924,583,191,109,696/192,125,688
  6. Step 6: Final answer
    x = 889,649,817.11

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.