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Finding the Third Proportional to 282,833,041.50 and 436,355,841

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Solution

The third proportional to 282,833,041.50 and 436,355,841 is: 673,211,372.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,833,041.50 : 436,355,841 = 436,355,841 : x
  2. Step 2: Convert to fraction form
    282,833,041.50/436,355,841 = 436,355,841/x
  3. Step 3: Cross multiply
    282,833,041.50x = 436,355,841 × 436,355,841
  4. Step 4: Simplify right side
    282,833,041.50x = 190,406,419,974,817,280
  5. Step 5: Solve for x
    x = 190,406,419,974,817,280/282,833,041.50
  6. Step 6: Final answer
    x = 673,211,372.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.