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Finding the Third Proportional to 137,038,093,627 and 209,495,905,571

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Solution

The third proportional to 137,038,093,627 and 209,495,905,571 is: 320,265,214,506.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,038,093,627 : 209,495,905,571 = 209,495,905,571 : x
  2. Step 2: Convert to fraction form
    137,038,093,627/209,495,905,571 = 209,495,905,571/x
  3. Step 3: Cross multiply
    137,038,093,627x = 209,495,905,571 × 209,495,905,571
  4. Step 4: Simplify right side
    137,038,093,627x = 43,888,534,451,013,352,947,712
  5. Step 5: Solve for x
    x = 43,888,534,451,013,352,947,712/137,038,093,627
  6. Step 6: Final answer
    x = 320,265,214,506.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.