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Finding the Third Proportional to 219,848,316 and 334,930,284

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Solution

The third proportional to 219,848,316 and 334,930,284 is: 510,253,147.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,848,316 : 334,930,284 = 334,930,284 : x
  2. Step 2: Convert to fraction form
    219,848,316/334,930,284 = 334,930,284/x
  3. Step 3: Cross multiply
    219,848,316x = 334,930,284 × 334,930,284
  4. Step 4: Simplify right side
    219,848,316x = 112,178,295,140,320,656
  5. Step 5: Solve for x
    x = 112,178,295,140,320,656/219,848,316
  6. Step 6: Final answer
    x = 510,253,147.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.