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Finding the Third Proportional to 65,840,382 and 144,713,461.50

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Solution

The third proportional to 65,840,382 and 144,713,461.50 is: 318,072,060.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,840,382 : 144,713,461.50 = 144,713,461.50 : x
  2. Step 2: Convert to fraction form
    65,840,382/144,713,461.50 = 144,713,461.50/x
  3. Step 3: Cross multiply
    65,840,382x = 144,713,461.50 × 144,713,461.50
  4. Step 4: Simplify right side
    65,840,382x = 20,941,985,939,311,984
  5. Step 5: Solve for x
    x = 20,941,985,939,311,984/65,840,382
  6. Step 6: Final answer
    x = 318,072,060.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.