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Finding the Third Proportional to 245,876,076 and 501,628,963.50

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Solution

The third proportional to 245,876,076 and 501,628,963.50 is: 1,023,408,300.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,876,076 : 501,628,963.50 = 501,628,963.50 : x
  2. Step 2: Convert to fraction form
    245,876,076/501,628,963.50 = 501,628,963.50/x
  3. Step 3: Cross multiply
    245,876,076x = 501,628,963.50 × 501,628,963.50
  4. Step 4: Simplify right side
    245,876,076x = 251,631,617,022,084,320
  5. Step 5: Solve for x
    x = 251,631,617,022,084,320/245,876,076
  6. Step 6: Final answer
    x = 1,023,408,300.29

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.