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Finding the Third Proportional to 76,050,009 and 164,223,090

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Solution

The third proportional to 76,050,009 and 164,223,090 is: 354,624,853.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,050,009 : 164,223,090 = 164,223,090 : x
  2. Step 2: Convert to fraction form
    76,050,009/164,223,090 = 164,223,090/x
  3. Step 3: Cross multiply
    76,050,009x = 164,223,090 × 164,223,090
  4. Step 4: Simplify right side
    76,050,009x = 26,969,223,289,148,100
  5. Step 5: Solve for x
    x = 26,969,223,289,148,100/76,050,009
  6. Step 6: Final answer
    x = 354,624,853.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.