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Finding the Third Proportional to 295,163,047.50 and 645,928,342.50

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Solution

The third proportional to 295,163,047.50 and 645,928,342.50 is: 1,413,535,424.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,163,047.50 : 645,928,342.50 = 645,928,342.50 : x
  2. Step 2: Convert to fraction form
    295,163,047.50/645,928,342.50 = 645,928,342.50/x
  3. Step 3: Cross multiply
    295,163,047.50x = 645,928,342.50 × 645,928,342.50
  4. Step 4: Simplify right side
    295,163,047.50x = 417,223,423,644,797,312
  5. Step 5: Solve for x
    x = 417,223,423,644,797,312/295,163,047.50
  6. Step 6: Final answer
    x = 1,413,535,424.50

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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.