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Finding the Third Proportional to 233,150,235 and 502,619,296.50

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Solution

The third proportional to 233,150,235 and 502,619,296.50 is: 1,083,533,787.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,150,235 : 502,619,296.50 = 502,619,296.50 : x
  2. Step 2: Convert to fraction form
    233,150,235/502,619,296.50 = 502,619,296.50/x
  3. Step 3: Cross multiply
    233,150,235x = 502,619,296.50 × 502,619,296.50
  4. Step 4: Simplify right side
    233,150,235x = 252,626,157,214,154,912
  5. Step 5: Solve for x
    x = 252,626,157,214,154,912/233,150,235
  6. Step 6: Final answer
    x = 1,083,533,787.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.