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Finding the Third Proportional to 162,398,354 and 221,196,507

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Solution

The third proportional to 162,398,354 and 221,196,507 is: 301,283,193.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,398,354 : 221,196,507 = 221,196,507 : x
  2. Step 2: Convert to fraction form
    162,398,354/221,196,507 = 221,196,507/x
  3. Step 3: Cross multiply
    162,398,354x = 221,196,507 × 221,196,507
  4. Step 4: Simplify right side
    162,398,354x = 48,927,894,709,001,048
  5. Step 5: Solve for x
    x = 48,927,894,709,001,048/162,398,354
  6. Step 6: Final answer
    x = 301,283,193.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.