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Finding the Third Proportional to 233,215,240 and 510,363,120

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Solution

The third proportional to 233,215,240 and 510,363,120 is: 1,116,867,466.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,215,240 : 510,363,120 = 510,363,120 : x
  2. Step 2: Convert to fraction form
    233,215,240/510,363,120 = 510,363,120/x
  3. Step 3: Cross multiply
    233,215,240x = 510,363,120 × 510,363,120
  4. Step 4: Simplify right side
    233,215,240x = 260,470,514,256,134,400
  5. Step 5: Solve for x
    x = 260,470,514,256,134,400/233,215,240
  6. Step 6: Final answer
    x = 1,116,867,466.53

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.