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Finding the Third Proportional to 82,749,943 and 174,075,523

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Solution

The third proportional to 82,749,943 and 174,075,523 is: 366,191,040.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,749,943 : 174,075,523 = 174,075,523 : x
  2. Step 2: Convert to fraction form
    82,749,943/174,075,523 = 174,075,523/x
  3. Step 3: Cross multiply
    82,749,943x = 174,075,523 × 174,075,523
  4. Step 4: Simplify right side
    82,749,943x = 30,302,287,707,723,528
  5. Step 5: Solve for x
    x = 30,302,287,707,723,528/82,749,943
  6. Step 6: Final answer
    x = 366,191,040.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.