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Finding the Third Proportional to 233,784,862.50 and 508,261,230

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Solution

The third proportional to 233,784,862.50 and 508,261,230 is: 1,104,988,043.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,784,862.50 : 508,261,230 = 508,261,230 : x
  2. Step 2: Convert to fraction form
    233,784,862.50/508,261,230 = 508,261,230/x
  3. Step 3: Cross multiply
    233,784,862.50x = 508,261,230 × 508,261,230
  4. Step 4: Simplify right side
    233,784,862.50x = 258,329,477,921,112,896
  5. Step 5: Solve for x
    x = 258,329,477,921,112,896/233,784,862.50
  6. Step 6: Final answer
    x = 1,104,988,043.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.