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Finding the Third Proportional to 105,231,984,230 and 245,549,782,134

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Solution

The third proportional to 105,231,984,230 and 245,549,782,134 is: 572,969,292,057.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,231,984,230 : 245,549,782,134 = 245,549,782,134 : x
  2. Step 2: Convert to fraction form
    105,231,984,230/245,549,782,134 = 245,549,782,134/x
  3. Step 3: Cross multiply
    105,231,984,230x = 245,549,782,134 × 245,549,782,134
  4. Step 4: Simplify right side
    105,231,984,230x = 60,294,695,506,054,861,553,664
  5. Step 5: Solve for x
    x = 60,294,695,506,054,861,553,664/105,231,984,230
  6. Step 6: Final answer
    x = 572,969,292,057.37

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.