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Finding the Third Proportional to 115,496,009,101 and 169,784,256,923

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Solution

The third proportional to 115,496,009,101 and 169,784,256,923 is: 249,590,389,514.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,496,009,101 : 169,784,256,923 = 169,784,256,923 : x
  2. Step 2: Convert to fraction form
    115,496,009,101/169,784,256,923 = 169,784,256,923/x
  3. Step 3: Cross multiply
    115,496,009,101x = 169,784,256,923 × 169,784,256,923
  4. Step 4: Simplify right side
    115,496,009,101x = 28,826,693,898,895,274,016,768
  5. Step 5: Solve for x
    x = 28,826,693,898,895,274,016,768/115,496,009,101
  6. Step 6: Final answer
    x = 249,590,389,514.56

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Why These Related Problems?

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