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Finding the Third Proportional to 233,176,513.50 and 498,638,067.75

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Solution

The third proportional to 233,176,513.50 and 498,638,067.75 is: 1,066,316,323.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,176,513.50 : 498,638,067.75 = 498,638,067.75 : x
  2. Step 2: Convert to fraction form
    233,176,513.50/498,638,067.75 = 498,638,067.75/x
  3. Step 3: Cross multiply
    233,176,513.50x = 498,638,067.75 × 498,638,067.75
  4. Step 4: Simplify right side
    233,176,513.50x = 248,639,922,609,453,600
  5. Step 5: Solve for x
    x = 248,639,922,609,453,600/233,176,513.50
  6. Step 6: Final answer
    x = 1,066,316,323.53

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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.