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Finding the Third Proportional to 109,580,284 and 164,514,594

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Solution

The third proportional to 109,580,284 and 164,514,594 is: 246,988,332.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,580,284 : 164,514,594 = 164,514,594 : x
  2. Step 2: Convert to fraction form
    109,580,284/164,514,594 = 164,514,594/x
  3. Step 3: Cross multiply
    109,580,284x = 164,514,594 × 164,514,594
  4. Step 4: Simplify right side
    109,580,284x = 27,065,051,638,984,836
  5. Step 5: Solve for x
    x = 27,065,051,638,984,836/109,580,284
  6. Step 6: Final answer
    x = 246,988,332.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.