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Finding the Third Proportional to 113,110,023 and 172,952,014.50

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Solution

The third proportional to 113,110,023 and 172,952,014.50 is: 264,454,011.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,110,023 : 172,952,014.50 = 172,952,014.50 : x
  2. Step 2: Convert to fraction form
    113,110,023/172,952,014.50 = 172,952,014.50/x
  3. Step 3: Cross multiply
    113,110,023x = 172,952,014.50 × 172,952,014.50
  4. Step 4: Simplify right side
    113,110,023x = 29,912,399,319,608,212
  5. Step 5: Solve for x
    x = 29,912,399,319,608,212/113,110,023
  6. Step 6: Final answer
    x = 264,454,011.47

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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.