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Finding the Third Proportional to 292,101,148 and 453,740,634

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Solution

The third proportional to 292,101,148 and 453,740,634 is: 704,826,271.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,101,148 : 453,740,634 = 453,740,634 : x
  2. Step 2: Convert to fraction form
    292,101,148/453,740,634 = 453,740,634/x
  3. Step 3: Cross multiply
    292,101,148x = 453,740,634 × 453,740,634
  4. Step 4: Simplify right side
    292,101,148x = 205,880,562,942,721,952
  5. Step 5: Solve for x
    x = 205,880,562,942,721,952/292,101,148
  6. Step 6: Final answer
    x = 704,826,271.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.