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Finding the Third Proportional to 164,648,574 and 357,993,866.25

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Solution

The third proportional to 164,648,574 and 357,993,866.25 is: 778,382,740.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,648,574 : 357,993,866.25 = 357,993,866.25 : x
  2. Step 2: Convert to fraction form
    164,648,574/357,993,866.25 = 357,993,866.25/x
  3. Step 3: Cross multiply
    164,648,574x = 357,993,866.25 × 357,993,866.25
  4. Step 4: Simplify right side
    164,648,574x = 128,159,608,272,622,896
  5. Step 5: Solve for x
    x = 128,159,608,272,622,896/164,648,574
  6. Step 6: Final answer
    x = 778,382,740.64

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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.