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Finding the Third Proportional to 52,959,962.25 and 114,280,256.25

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Solution

The third proportional to 52,959,962.25 and 114,280,256.25 is: 246,600,949.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,959,962.25 : 114,280,256.25 = 114,280,256.25 : x
  2. Step 2: Convert to fraction form
    52,959,962.25/114,280,256.25 = 114,280,256.25/x
  3. Step 3: Cross multiply
    52,959,962.25x = 114,280,256.25 × 114,280,256.25
  4. Step 4: Simplify right side
    52,959,962.25x = 13,059,976,968,565,664
  5. Step 5: Solve for x
    x = 13,059,976,968,565,664/52,959,962.25
  6. Step 6: Final answer
    x = 246,600,949.35

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.