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Finding the Third Proportional to 124,957,477,755 and 190,359,806,616

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Solution

The third proportional to 124,957,477,755 and 190,359,806,616 is: 289,993,497,195.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,957,477,755 : 190,359,806,616 = 190,359,806,616 : x
  2. Step 2: Convert to fraction form
    124,957,477,755/190,359,806,616 = 190,359,806,616/x
  3. Step 3: Cross multiply
    124,957,477,755x = 190,359,806,616 × 190,359,806,616
  4. Step 4: Simplify right side
    124,957,477,755x = 36,236,855,974,880,918,634,496
  5. Step 5: Solve for x
    x = 36,236,855,974,880,918,634,496/124,957,477,755
  6. Step 6: Final answer
    x = 289,993,497,195.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.