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Finding the Third Proportional to 161,395,132.50 and 334,274,293.13

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Solution

The third proportional to 161,395,132.50 and 334,274,293.13 is: 692,333,785.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,395,132.50 : 334,274,293.13 = 334,274,293.13 : x
  2. Step 2: Convert to fraction form
    161,395,132.50/334,274,293.13 = 334,274,293.13/x
  3. Step 3: Cross multiply
    161,395,132.50x = 334,274,293.13 × 334,274,293.13
  4. Step 4: Simplify right side
    161,395,132.50x = 111,739,303,044,218,416
  5. Step 5: Solve for x
    x = 111,739,303,044,218,416/161,395,132.50
  6. Step 6: Final answer
    x = 692,333,785.50

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.