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Finding the Third Proportional to 233,176,308.75 and 498,637,651.50

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Solution

The third proportional to 233,176,308.75 and 498,637,651.50 is: 1,066,315,479.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,176,308.75 : 498,637,651.50 = 498,637,651.50 : x
  2. Step 2: Convert to fraction form
    233,176,308.75/498,637,651.50 = 498,637,651.50/x
  3. Step 3: Cross multiply
    233,176,308.75x = 498,637,651.50 × 498,637,651.50
  4. Step 4: Simplify right side
    233,176,308.75x = 248,639,507,493,435,456
  5. Step 5: Solve for x
    x = 248,639,507,493,435,456/233,176,308.75
  6. Step 6: Final answer
    x = 1,066,315,479.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.