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Finding the Third Proportional to 278,318,030.06 and 549,610,869.38

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Solution

The third proportional to 278,318,030.06 and 549,610,869.38 is: 1,085,348,684.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,318,030.06 : 549,610,869.38 = 549,610,869.38 : x
  2. Step 2: Convert to fraction form
    278,318,030.06/549,610,869.38 = 549,610,869.38/x
  3. Step 3: Cross multiply
    278,318,030.06x = 549,610,869.38 × 549,610,869.38
  4. Step 4: Simplify right side
    278,318,030.06x = 302,072,107,735,143,296
  5. Step 5: Solve for x
    x = 302,072,107,735,143,296/278,318,030.06
  6. Step 6: Final answer
    x = 1,085,348,684.26

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