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Finding the Third Proportional to 102,636,396 and 223,341,421.50

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Solution

The third proportional to 102,636,396 and 223,341,421.50 is: 486,000,994.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,636,396 : 223,341,421.50 = 223,341,421.50 : x
  2. Step 2: Convert to fraction form
    102,636,396/223,341,421.50 = 223,341,421.50/x
  3. Step 3: Cross multiply
    102,636,396x = 223,341,421.50 × 223,341,421.50
  4. Step 4: Simplify right side
    102,636,396x = 49,881,390,557,640,664
  5. Step 5: Solve for x
    x = 49,881,390,557,640,664/102,636,396
  6. Step 6: Final answer
    x = 486,000,994.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.