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Finding the Third Proportional to 48,455,749 and 106,326,430

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Solution

The third proportional to 48,455,749 and 106,326,430 is: 233,312,041.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,455,749 : 106,326,430 = 106,326,430 : x
  2. Step 2: Convert to fraction form
    48,455,749/106,326,430 = 106,326,430/x
  3. Step 3: Cross multiply
    48,455,749x = 106,326,430 × 106,326,430
  4. Step 4: Simplify right side
    48,455,749x = 11,305,309,716,544,900
  5. Step 5: Solve for x
    x = 11,305,309,716,544,900/48,455,749
  6. Step 6: Final answer
    x = 233,312,041.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.