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Finding the Third Proportional to 99,762,934.50 and 233,091,216

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Solution

The third proportional to 99,762,934.50 and 233,091,216 is: 544,606,223.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,762,934.50 : 233,091,216 = 233,091,216 : x
  2. Step 2: Convert to fraction form
    99,762,934.50/233,091,216 = 233,091,216/x
  3. Step 3: Cross multiply
    99,762,934.50x = 233,091,216 × 233,091,216
  4. Step 4: Simplify right side
    99,762,934.50x = 54,331,514,976,358,656
  5. Step 5: Solve for x
    x = 54,331,514,976,358,656/99,762,934.50
  6. Step 6: Final answer
    x = 544,606,223.23

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.