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Finding the Third Proportional to 105,470,967 and 231,363,870

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Solution

The third proportional to 105,470,967 and 231,363,870 is: 507,525,832.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,470,967 : 231,363,870 = 231,363,870 : x
  2. Step 2: Convert to fraction form
    105,470,967/231,363,870 = 231,363,870/x
  3. Step 3: Cross multiply
    105,470,967x = 231,363,870 × 231,363,870
  4. Step 4: Simplify right side
    105,470,967x = 53,529,240,341,376,896
  5. Step 5: Solve for x
    x = 53,529,240,341,376,896/105,470,967
  6. Step 6: Final answer
    x = 507,525,832.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.