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Finding the Third Proportional to 215,119,260 and 475,457,184

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Solution

The third proportional to 215,119,260 and 475,457,184 is: 1,050,856,784.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,119,260 : 475,457,184 = 475,457,184 : x
  2. Step 2: Convert to fraction form
    215,119,260/475,457,184 = 475,457,184/x
  3. Step 3: Cross multiply
    215,119,260x = 475,457,184 × 475,457,184
  4. Step 4: Simplify right side
    215,119,260x = 226,059,533,817,209,856
  5. Step 5: Solve for x
    x = 226,059,533,817,209,856/215,119,260
  6. Step 6: Final answer
    x = 1,050,856,784.36

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.