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Finding the Third Proportional to 214,937,779.50 and 466,367,841

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Solution

The third proportional to 214,937,779.50 and 466,367,841 is: 1,011,915,930.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,937,779.50 : 466,367,841 = 466,367,841 : x
  2. Step 2: Convert to fraction form
    214,937,779.50/466,367,841 = 466,367,841/x
  3. Step 3: Cross multiply
    214,937,779.50x = 466,367,841 × 466,367,841
  4. Step 4: Simplify right side
    214,937,779.50x = 217,498,963,119,001,280
  5. Step 5: Solve for x
    x = 217,498,963,119,001,280/214,937,779.50
  6. Step 6: Final answer
    x = 1,011,915,930.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.