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Finding the Third Proportional to 219,075,874 and 340,305,495

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Solution

The third proportional to 219,075,874 and 340,305,495 is: 528,619,732.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,075,874 : 340,305,495 = 340,305,495 : x
  2. Step 2: Convert to fraction form
    219,075,874/340,305,495 = 340,305,495/x
  3. Step 3: Cross multiply
    219,075,874x = 340,305,495 × 340,305,495
  4. Step 4: Simplify right side
    219,075,874x = 115,807,829,927,195,024
  5. Step 5: Solve for x
    x = 115,807,829,927,195,024/219,075,874
  6. Step 6: Final answer
    x = 528,619,732.57

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.