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Finding the Third Proportional to 46,486,602 and 101,343,412.50

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Solution

The third proportional to 46,486,602 and 101,343,412.50 is: 220,934,351.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,486,602 : 101,343,412.50 = 101,343,412.50 : x
  2. Step 2: Convert to fraction form
    46,486,602/101,343,412.50 = 101,343,412.50/x
  3. Step 3: Cross multiply
    46,486,602x = 101,343,412.50 × 101,343,412.50
  4. Step 4: Simplify right side
    46,486,602x = 10,270,487,257,145,156
  5. Step 5: Solve for x
    x = 10,270,487,257,145,156/46,486,602
  6. Step 6: Final answer
    x = 220,934,351.30

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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.