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Finding the Third Proportional to 46,557,000 and 109,747,798.50

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Solution

The third proportional to 46,557,000 and 109,747,798.50 is: 258,706,086.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,557,000 : 109,747,798.50 = 109,747,798.50 : x
  2. Step 2: Convert to fraction form
    46,557,000/109,747,798.50 = 109,747,798.50/x
  3. Step 3: Cross multiply
    46,557,000x = 109,747,798.50 × 109,747,798.50
  4. Step 4: Simplify right side
    46,557,000x = 12,044,579,275,596,602
  5. Step 5: Solve for x
    x = 12,044,579,275,596,602/46,557,000
  6. Step 6: Final answer
    x = 258,706,086.64

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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.