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Finding the Third Proportional to 52,484,056 and 114,519,228

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Solution

The third proportional to 52,484,056 and 114,519,228 is: 249,878,812.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,484,056 : 114,519,228 = 114,519,228 : x
  2. Step 2: Convert to fraction form
    52,484,056/114,519,228 = 114,519,228/x
  3. Step 3: Cross multiply
    52,484,056x = 114,519,228 × 114,519,228
  4. Step 4: Simplify right side
    52,484,056x = 13,114,653,581,715,984
  5. Step 5: Solve for x
    x = 13,114,653,581,715,984/52,484,056
  6. Step 6: Final answer
    x = 249,878,812.37

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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.