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Finding the Third Proportional to 232,997,145.50 and 361,772,488.50

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Solution

The third proportional to 232,997,145.50 and 361,772,488.50 is: 561,720,759.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,997,145.50 : 361,772,488.50 = 361,772,488.50 : x
  2. Step 2: Convert to fraction form
    232,997,145.50/361,772,488.50 = 361,772,488.50/x
  3. Step 3: Cross multiply
    232,997,145.50x = 361,772,488.50 × 361,772,488.50
  4. Step 4: Simplify right side
    232,997,145.50x = 130,879,333,435,482,640
  5. Step 5: Solve for x
    x = 130,879,333,435,482,640/232,997,145.50
  6. Step 6: Final answer
    x = 561,720,759.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.