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Finding the Third Proportional to 176,933,993,281 and 389,932,768,746

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Solution

The third proportional to 176,933,993,281 and 389,932,768,746 is: 859,346,252,929.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,933,993,281 : 389,932,768,746 = 389,932,768,746 : x
  2. Step 2: Convert to fraction form
    176,933,993,281/389,932,768,746 = 389,932,768,746/x
  3. Step 3: Cross multiply
    176,933,993,281x = 389,932,768,746 × 389,932,768,746
  4. Step 4: Simplify right side
    176,933,993,281x = 152,047,564,141,921,528,971,264
  5. Step 5: Solve for x
    x = 152,047,564,141,921,528,971,264/176,933,993,281
  6. Step 6: Final answer
    x = 859,346,252,929.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.