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Finding the Third Proportional to 121,146,701 and 264,495,825.50

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Solution

The third proportional to 121,146,701 and 264,495,825.50 is: 577,465,511.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,146,701 : 264,495,825.50 = 264,495,825.50 : x
  2. Step 2: Convert to fraction form
    121,146,701/264,495,825.50 = 264,495,825.50/x
  3. Step 3: Cross multiply
    121,146,701x = 264,495,825.50 × 264,495,825.50
  4. Step 4: Simplify right side
    121,146,701x = 69,958,041,706,926,448
  5. Step 5: Solve for x
    x = 69,958,041,706,926,448/121,146,701
  6. Step 6: Final answer
    x = 577,465,511.89

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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.