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Finding the Third Proportional to 117,464,262 and 257,516,844

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Solution

The third proportional to 117,464,262 and 257,516,844 is: 564,554,050.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,464,262 : 257,516,844 = 257,516,844 : x
  2. Step 2: Convert to fraction form
    117,464,262/257,516,844 = 257,516,844/x
  3. Step 3: Cross multiply
    117,464,262x = 257,516,844 × 257,516,844
  4. Step 4: Simplify right side
    117,464,262x = 66,314,924,943,720,336
  5. Step 5: Solve for x
    x = 66,314,924,943,720,336/117,464,262
  6. Step 6: Final answer
    x = 564,554,050.86

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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.