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Finding the Third Proportional to 278,318,032.50 and 549,610,875

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Solution

The third proportional to 278,318,032.50 and 549,610,875 is: 1,085,348,696.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,318,032.50 : 549,610,875 = 549,610,875 : x
  2. Step 2: Convert to fraction form
    278,318,032.50/549,610,875 = 549,610,875/x
  3. Step 3: Cross multiply
    278,318,032.50x = 549,610,875 × 549,610,875
  4. Step 4: Simplify right side
    278,318,032.50x = 302,072,113,918,265,600
  5. Step 5: Solve for x
    x = 302,072,113,918,265,600/278,318,032.50
  6. Step 6: Final answer
    x = 1,085,348,696.97

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.