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Finding the Third Proportional to 115,496,009,103 and 169,784,256,926

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Solution

The third proportional to 115,496,009,103 and 169,784,256,926 is: 249,590,389,519.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,496,009,103 : 169,784,256,926 = 169,784,256,926 : x
  2. Step 2: Convert to fraction form
    115,496,009,103/169,784,256,926 = 169,784,256,926/x
  3. Step 3: Cross multiply
    115,496,009,103x = 169,784,256,926 × 169,784,256,926
  4. Step 4: Simplify right side
    115,496,009,103x = 28,826,693,899,913,978,183,680
  5. Step 5: Solve for x
    x = 28,826,693,899,913,978,183,680/115,496,009,103
  6. Step 6: Final answer
    x = 249,590,389,519.05

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.