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Finding the Third Proportional to 163,250,967 and 355,199,248.50

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Solution

The third proportional to 163,250,967 and 355,199,248.50 is: 772,837,726.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,250,967 : 355,199,248.50 = 355,199,248.50 : x
  2. Step 2: Convert to fraction form
    163,250,967/355,199,248.50 = 355,199,248.50/x
  3. Step 3: Cross multiply
    163,250,967x = 355,199,248.50 × 355,199,248.50
  4. Step 4: Simplify right side
    163,250,967x = 126,166,506,134,964,752
  5. Step 5: Solve for x
    x = 126,166,506,134,964,752/163,250,967
  6. Step 6: Final answer
    x = 772,837,726.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.