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Finding the Third Proportional to 215,908,827 and 470,153,334

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Solution

The third proportional to 215,908,827 and 470,153,334 is: 1,023,784,717.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,908,827 : 470,153,334 = 470,153,334 : x
  2. Step 2: Convert to fraction form
    215,908,827/470,153,334 = 470,153,334/x
  3. Step 3: Cross multiply
    215,908,827x = 470,153,334 × 470,153,334
  4. Step 4: Simplify right side
    215,908,827x = 221,044,157,471,315,552
  5. Step 5: Solve for x
    x = 221,044,157,471,315,552/215,908,827
  6. Step 6: Final answer
    x = 1,023,784,717.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.