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Finding the Third Proportional to 90,620,837,796 and 142,157,352,096

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Solution

The third proportional to 90,620,837,796 and 142,157,352,096 is: 223,002,934,495.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,620,837,796 : 142,157,352,096 = 142,157,352,096 : x
  2. Step 2: Convert to fraction form
    90,620,837,796/142,157,352,096 = 142,157,352,096/x
  3. Step 3: Cross multiply
    90,620,837,796x = 142,157,352,096 × 142,157,352,096
  4. Step 4: Simplify right side
    90,620,837,796x = 20,208,712,754,946,113,536,000
  5. Step 5: Solve for x
    x = 20,208,712,754,946,113,536,000/90,620,837,796
  6. Step 6: Final answer
    x = 223,002,934,495.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.