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Finding the Third Proportional to 164,516,008 and 357,352,208

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Solution

The third proportional to 164,516,008 and 357,352,208 is: 776,219,907.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,516,008 : 357,352,208 = 357,352,208 : x
  2. Step 2: Convert to fraction form
    164,516,008/357,352,208 = 357,352,208/x
  3. Step 3: Cross multiply
    164,516,008x = 357,352,208 × 357,352,208
  4. Step 4: Simplify right side
    164,516,008x = 127,700,600,562,475,264
  5. Step 5: Solve for x
    x = 127,700,600,562,475,264/164,516,008
  6. Step 6: Final answer
    x = 776,219,907.81

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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.