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Finding the Third Proportional to 121,146,699.75 and 264,495,823.50

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Solution

The third proportional to 121,146,699.75 and 264,495,823.50 is: 577,465,509.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,146,699.75 : 264,495,823.50 = 264,495,823.50 : x
  2. Step 2: Convert to fraction form
    121,146,699.75/264,495,823.50 = 264,495,823.50/x
  3. Step 3: Cross multiply
    121,146,699.75x = 264,495,823.50 × 264,495,823.50
  4. Step 4: Simplify right side
    121,146,699.75x = 69,958,040,648,943,152
  5. Step 5: Solve for x
    x = 69,958,040,648,943,152/121,146,699.75
  6. Step 6: Final answer
    x = 577,465,509.12

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.