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Finding the Third Proportional to 282,971,749.50 and 618,731,113.50

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Solution

The third proportional to 282,971,749.50 and 618,731,113.50 is: 1,352,884,842.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,971,749.50 : 618,731,113.50 = 618,731,113.50 : x
  2. Step 2: Convert to fraction form
    282,971,749.50/618,731,113.50 = 618,731,113.50/x
  3. Step 3: Cross multiply
    282,971,749.50x = 618,731,113.50 × 618,731,113.50
  4. Step 4: Simplify right side
    282,971,749.50x = 382,828,190,812,949,888
  5. Step 5: Solve for x
    x = 382,828,190,812,949,888/282,971,749.50
  6. Step 6: Final answer
    x = 1,352,884,842.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.