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Finding the Third Proportional to 52,168,308 and 114,414,312

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Solution

The third proportional to 52,168,308 and 114,414,312 is: 250,930,790.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,168,308 : 114,414,312 = 114,414,312 : x
  2. Step 2: Convert to fraction form
    52,168,308/114,414,312 = 114,414,312/x
  3. Step 3: Cross multiply
    52,168,308x = 114,414,312 × 114,414,312
  4. Step 4: Simplify right side
    52,168,308x = 13,090,634,790,433,344
  5. Step 5: Solve for x
    x = 13,090,634,790,433,344/52,168,308
  6. Step 6: Final answer
    x = 250,930,790.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.