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Finding the Third Proportional to 65,233,075.50 and 91,248,312.38

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Solution

The third proportional to 65,233,075.50 and 91,248,312.38 is: 127,638,539.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,233,075.50 : 91,248,312.38 = 91,248,312.38 : x
  2. Step 2: Convert to fraction form
    65,233,075.50/91,248,312.38 = 91,248,312.38/x
  3. Step 3: Cross multiply
    65,233,075.50x = 91,248,312.38 × 91,248,312.38
  4. Step 4: Simplify right side
    65,233,075.50x = 8,326,254,511,285,578
  5. Step 5: Solve for x
    x = 8,326,254,511,285,578/65,233,075.50
  6. Step 6: Final answer
    x = 127,638,539.92

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.