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Finding the Third Proportional to 53,512,848 and 117,249,184

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Solution

The third proportional to 53,512,848 and 117,249,184 is: 256,898,514.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,512,848 : 117,249,184 = 117,249,184 : x
  2. Step 2: Convert to fraction form
    53,512,848/117,249,184 = 117,249,184/x
  3. Step 3: Cross multiply
    53,512,848x = 117,249,184 × 117,249,184
  4. Step 4: Simplify right side
    53,512,848x = 13,747,371,148,665,856
  5. Step 5: Solve for x
    x = 13,747,371,148,665,856/53,512,848
  6. Step 6: Final answer
    x = 256,898,514.33

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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.