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Finding the Third Proportional to 245,271,766.50 and 538,214,530.50

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Solution

The third proportional to 245,271,766.50 and 538,214,530.50 is: 1,181,036,386.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,271,766.50 : 538,214,530.50 = 538,214,530.50 : x
  2. Step 2: Convert to fraction form
    245,271,766.50/538,214,530.50 = 538,214,530.50/x
  3. Step 3: Cross multiply
    245,271,766.50x = 538,214,530.50 × 538,214,530.50
  4. Step 4: Simplify right side
    245,271,766.50x = 289,674,880,841,335,424
  5. Step 5: Solve for x
    x = 289,674,880,841,335,424/245,271,766.50
  6. Step 6: Final answer
    x = 1,181,036,386.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.