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Finding the Third Proportional to 191,898,064 and 274,226,778

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Solution

The third proportional to 191,898,064 and 274,226,778 is: 391,876,417.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,898,064 : 274,226,778 = 274,226,778 : x
  2. Step 2: Convert to fraction form
    191,898,064/274,226,778 = 274,226,778/x
  3. Step 3: Cross multiply
    191,898,064x = 274,226,778 × 274,226,778
  4. Step 4: Simplify right side
    191,898,064x = 75,200,325,772,261,280
  5. Step 5: Solve for x
    x = 75,200,325,772,261,280/191,898,064
  6. Step 6: Final answer
    x = 391,876,417.12

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.