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Finding the Third Proportional to 46,059,536.25 and 98,496,364.50

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Solution

The third proportional to 46,059,536.25 and 98,496,364.50 is: 210,630,297.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,059,536.25 : 98,496,364.50 = 98,496,364.50 : x
  2. Step 2: Convert to fraction form
    46,059,536.25/98,496,364.50 = 98,496,364.50/x
  3. Step 3: Cross multiply
    46,059,536.25x = 98,496,364.50 × 98,496,364.50
  4. Step 4: Simplify right side
    46,059,536.25x = 9,701,533,819,716,860
  5. Step 5: Solve for x
    x = 9,701,533,819,716,860/46,059,536.25
  6. Step 6: Final answer
    x = 210,630,297.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.