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Finding the Third Proportional to 164,535,567,805 and 333,697,501,103

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Solution

The third proportional to 164,535,567,805 and 333,697,501,103 is: 676,777,816,054.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,535,567,805 : 333,697,501,103 = 333,697,501,103 : x
  2. Step 2: Convert to fraction form
    164,535,567,805/333,697,501,103 = 333,697,501,103/x
  3. Step 3: Cross multiply
    164,535,567,805x = 333,697,501,103 × 333,697,501,103
  4. Step 4: Simplify right side
    164,535,567,805x = 111,354,022,242,386,685,460,480
  5. Step 5: Solve for x
    x = 111,354,022,242,386,685,460,480/164,535,567,805
  6. Step 6: Final answer
    x = 676,777,816,054.69

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.