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Finding the Third Proportional to 105,793,209 and 163,406,281.50

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Solution

The third proportional to 105,793,209 and 163,406,281.50 is: 252,394,393.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,793,209 : 163,406,281.50 = 163,406,281.50 : x
  2. Step 2: Convert to fraction form
    105,793,209/163,406,281.50 = 163,406,281.50/x
  3. Step 3: Cross multiply
    105,793,209x = 163,406,281.50 × 163,406,281.50
  4. Step 4: Simplify right side
    105,793,209x = 26,701,612,833,657,244
  5. Step 5: Solve for x
    x = 26,701,612,833,657,244/105,793,209
  6. Step 6: Final answer
    x = 252,394,393.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.