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Finding the Third Proportional to 214,719,574,152 and 320,217,337,548

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Solution

The third proportional to 214,719,574,152 and 320,217,337,548 is: 477,549,118,059.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,719,574,152 : 320,217,337,548 = 320,217,337,548 : x
  2. Step 2: Convert to fraction form
    214,719,574,152/320,217,337,548 = 320,217,337,548/x
  3. Step 3: Cross multiply
    214,719,574,152x = 320,217,337,548 × 320,217,337,548
  4. Step 4: Simplify right side
    214,719,574,152x = 102,539,143,266,329,778,192,384
  5. Step 5: Solve for x
    x = 102,539,143,266,329,778,192,384/214,719,574,152
  6. Step 6: Final answer
    x = 477,549,118,059.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.