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Finding the Third Proportional to 234,684,667,271.25 and 508,357,357,155

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Solution

The third proportional to 234,684,667,271.25 and 508,357,357,155 is: 1,101,167,816,280.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,684,667,271.25 : 508,357,357,155 = 508,357,357,155 : x
  2. Step 2: Convert to fraction form
    234,684,667,271.25/508,357,357,155 = 508,357,357,155/x
  3. Step 3: Cross multiply
    234,684,667,271.25x = 508,357,357,155 × 508,357,357,155
  4. Step 4: Simplify right side
    234,684,667,271.25x = 258,427,202,573,616,241,704,960
  5. Step 5: Solve for x
    x = 258,427,202,573,616,241,704,960/234,684,667,271.25
  6. Step 6: Final answer
    x = 1,101,167,816,280.58

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.