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Finding the Third Proportional to 232,818,269.63 and 365,223,669.19

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Solution

The third proportional to 232,818,269.63 and 365,223,669.19 is: 572,928,957.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,818,269.63 : 365,223,669.19 = 365,223,669.19 : x
  2. Step 2: Convert to fraction form
    232,818,269.63/365,223,669.19 = 365,223,669.19/x
  3. Step 3: Cross multiply
    232,818,269.63x = 365,223,669.19 × 365,223,669.19
  4. Step 4: Simplify right side
    232,818,269.63x = 133,388,328,534,780,432
  5. Step 5: Solve for x
    x = 133,388,328,534,780,432/232,818,269.63
  6. Step 6: Final answer
    x = 572,928,957.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.