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Finding the Third Proportional to 106,355,756,430 and 230,360,707,836

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Solution

The third proportional to 106,355,756,430 and 230,360,707,836 is: 498,948,599,454.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,355,756,430 : 230,360,707,836 = 230,360,707,836 : x
  2. Step 2: Convert to fraction form
    106,355,756,430/230,360,707,836 = 230,360,707,836/x
  3. Step 3: Cross multiply
    106,355,756,430x = 230,360,707,836 × 230,360,707,836
  4. Step 4: Simplify right side
    106,355,756,430x = 53,066,055,714,702,949,875,712
  5. Step 5: Solve for x
    x = 53,066,055,714,702,949,875,712/106,355,756,430
  6. Step 6: Final answer
    x = 498,948,599,454.79

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Why These Related Problems?

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