Home / 314,530,623.98-469,068,362.51

Finding the Third Proportional to 314,530,623.98 and 469,068,362.51

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Solution

The third proportional to 314,530,623.98 and 469,068,362.51 is: 699,534,836.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,530,623.98 : 469,068,362.51 = 469,068,362.51 : x
  2. Step 2: Convert to fraction form
    314,530,623.98/469,068,362.51 = 469,068,362.51/x
  3. Step 3: Cross multiply
    314,530,623.98x = 469,068,362.51 × 469,068,362.51
  4. Step 4: Simplify right side
    314,530,623.98x = 220,025,128,705,758,240
  5. Step 5: Solve for x
    x = 220,025,128,705,758,240/314,530,623.98
  6. Step 6: Final answer
    x = 699,534,836.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.