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Finding the Third Proportional to 140,550,174,528 and 214,118,468,809.50

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Solution

The third proportional to 140,550,174,528 and 214,118,468,809.50 is: 326,194,676,308.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,550,174,528 : 214,118,468,809.50 = 214,118,468,809.50 : x
  2. Step 2: Convert to fraction form
    140,550,174,528/214,118,468,809.50 = 214,118,468,809.50/x
  3. Step 3: Cross multiply
    140,550,174,528x = 214,118,468,809.50 × 214,118,468,809.50
  4. Step 4: Simplify right side
    140,550,174,528x = 45,846,718,685,324,823,756,800
  5. Step 5: Solve for x
    x = 45,846,718,685,324,823,756,800/140,550,174,528
  6. Step 6: Final answer
    x = 326,194,676,308.93

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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.