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Finding the Third Proportional to 53,977,281 and 117,538,482

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Solution

The third proportional to 53,977,281 and 117,538,482 is: 255,946,474.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,977,281 : 117,538,482 = 117,538,482 : x
  2. Step 2: Convert to fraction form
    53,977,281/117,538,482 = 117,538,482/x
  3. Step 3: Cross multiply
    53,977,281x = 117,538,482 × 117,538,482
  4. Step 4: Simplify right side
    53,977,281x = 13,815,294,750,864,324
  5. Step 5: Solve for x
    x = 13,815,294,750,864,324/53,977,281
  6. Step 6: Final answer
    x = 255,946,474.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.