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Finding the Third Proportional to 238,176,328.50 and 512,846,032.50

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Solution

The third proportional to 238,176,328.50 and 512,846,032.50 is: 1,104,270,330.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,176,328.50 : 512,846,032.50 = 512,846,032.50 : x
  2. Step 2: Convert to fraction form
    238,176,328.50/512,846,032.50 = 512,846,032.50/x
  3. Step 3: Cross multiply
    238,176,328.50x = 512,846,032.50 × 512,846,032.50
  4. Step 4: Simplify right side
    238,176,328.50x = 263,011,053,050,991,072
  5. Step 5: Solve for x
    x = 263,011,053,050,991,072/238,176,328.50
  6. Step 6: Final answer
    x = 1,104,270,330.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.