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Finding the Third Proportional to 53,013,342 and 115,952,316

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Solution

The third proportional to 53,013,342 and 115,952,316 is: 253,614,261.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,013,342 : 115,952,316 = 115,952,316 : x
  2. Step 2: Convert to fraction form
    53,013,342/115,952,316 = 115,952,316/x
  3. Step 3: Cross multiply
    53,013,342x = 115,952,316 × 115,952,316
  4. Step 4: Simplify right side
    53,013,342x = 13,444,939,585,763,856
  5. Step 5: Solve for x
    x = 13,444,939,585,763,856/53,013,342
  6. Step 6: Final answer
    x = 253,614,261.59

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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.