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Finding the Third Proportional to 356,870,075.27 and 545,562,305.23

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Solution

The third proportional to 356,870,075.27 and 545,562,305.23 is: 834,024,059.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,870,075.27 : 545,562,305.23 = 545,562,305.23 : x
  2. Step 2: Convert to fraction form
    356,870,075.27/545,562,305.23 = 545,562,305.23/x
  3. Step 3: Cross multiply
    356,870,075.27x = 545,562,305.23 × 545,562,305.23
  4. Step 4: Simplify right side
    356,870,075.27x = 297,638,228,884,129,152
  5. Step 5: Solve for x
    x = 297,638,228,884,129,152/356,870,075.27
  6. Step 6: Final answer
    x = 834,024,059.47

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.