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Finding the Third Proportional to 164,723,388 and 358,131,576

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Solution

The third proportional to 164,723,388 and 358,131,576 is: 778,627,900.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,723,388 : 358,131,576 = 358,131,576 : x
  2. Step 2: Convert to fraction form
    164,723,388/358,131,576 = 358,131,576/x
  3. Step 3: Cross multiply
    164,723,388x = 358,131,576 × 358,131,576
  4. Step 4: Simplify right side
    164,723,388x = 128,258,225,728,243,776
  5. Step 5: Solve for x
    x = 128,258,225,728,243,776/164,723,388
  6. Step 6: Final answer
    x = 778,627,900.30

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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.