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Finding the Third Proportional to 170,567,905 and 262,013,165.50

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Solution

The third proportional to 170,567,905 and 262,013,165.50 is: 402,484,270.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,567,905 : 262,013,165.50 = 262,013,165.50 : x
  2. Step 2: Convert to fraction form
    170,567,905/262,013,165.50 = 262,013,165.50/x
  3. Step 3: Cross multiply
    170,567,905x = 262,013,165.50 × 262,013,165.50
  4. Step 4: Simplify right side
    170,567,905x = 68,650,898,895,330,392
  5. Step 5: Solve for x
    x = 68,650,898,895,330,392/170,567,905
  6. Step 6: Final answer
    x = 402,484,270.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.