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Finding the Third Proportional to 105,793,005 and 163,406,014.50

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Solution

The third proportional to 105,793,005 and 163,406,014.50 is: 252,394,055.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,793,005 : 163,406,014.50 = 163,406,014.50 : x
  2. Step 2: Convert to fraction form
    105,793,005/163,406,014.50 = 163,406,014.50/x
  3. Step 3: Cross multiply
    105,793,005x = 163,406,014.50 × 163,406,014.50
  4. Step 4: Simplify right side
    105,793,005x = 26,701,525,574,774,212
  5. Step 5: Solve for x
    x = 26,701,525,574,774,212/105,793,005
  6. Step 6: Final answer
    x = 252,394,055.49

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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.