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Finding the Third Proportional to 114,880,388 and 172,438,086

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Solution

The third proportional to 114,880,388 and 172,438,086 is: 258,833,505.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,880,388 : 172,438,086 = 172,438,086 : x
  2. Step 2: Convert to fraction form
    114,880,388/172,438,086 = 172,438,086/x
  3. Step 3: Cross multiply
    114,880,388x = 172,438,086 × 172,438,086
  4. Step 4: Simplify right side
    114,880,388x = 29,734,893,503,343,396
  5. Step 5: Solve for x
    x = 29,734,893,503,343,396/114,880,388
  6. Step 6: Final answer
    x = 258,833,505.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.