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Finding the Third Proportional to 194,427,114 and 458,963,565

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Solution

The third proportional to 194,427,114 and 458,963,565 is: 1,083,426,841.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,427,114 : 458,963,565 = 458,963,565 : x
  2. Step 2: Convert to fraction form
    194,427,114/458,963,565 = 458,963,565/x
  3. Step 3: Cross multiply
    194,427,114x = 458,963,565 × 458,963,565
  4. Step 4: Simplify right side
    194,427,114x = 210,647,553,997,509,216
  5. Step 5: Solve for x
    x = 210,647,553,997,509,216/194,427,114
  6. Step 6: Final answer
    x = 1,083,426,841.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.