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Finding the Third Proportional to 358,014,022.13 and 534,816,280.13

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Solution

The third proportional to 358,014,022.13 and 534,816,280.13 is: 798,930,868.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,014,022.13 : 534,816,280.13 = 534,816,280.13 : x
  2. Step 2: Convert to fraction form
    358,014,022.13/534,816,280.13 = 534,816,280.13/x
  3. Step 3: Cross multiply
    358,014,022.13x = 534,816,280.13 × 534,816,280.13
  4. Step 4: Simplify right side
    358,014,022.13x = 286,028,453,486,742,464
  5. Step 5: Solve for x
    x = 286,028,453,486,742,464/358,014,022.13
  6. Step 6: Final answer
    x = 798,930,868.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.