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Finding the Third Proportional to 193,875,140,791 and 424,272,108,290

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Solution

The third proportional to 193,875,140,791 and 424,272,108,290 is: 928,467,781,575.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,875,140,791 : 424,272,108,290 = 424,272,108,290 : x
  2. Step 2: Convert to fraction form
    193,875,140,791/424,272,108,290 = 424,272,108,290/x
  3. Step 3: Cross multiply
    193,875,140,791x = 424,272,108,290 × 424,272,108,290
  4. Step 4: Simplify right side
    193,875,140,791x = 180,006,821,872,841,483,354,112
  5. Step 5: Solve for x
    x = 180,006,821,872,841,483,354,112/193,875,140,791
  6. Step 6: Final answer
    x = 928,467,781,575.42

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.