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Finding the Third Proportional to 163,256,653 and 355,210,026.50

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Solution

The third proportional to 163,256,653 and 355,210,026.50 is: 772,857,709.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,256,653 : 355,210,026.50 = 355,210,026.50 : x
  2. Step 2: Convert to fraction form
    163,256,653/355,210,026.50 = 355,210,026.50/x
  3. Step 3: Cross multiply
    163,256,653x = 355,210,026.50 × 355,210,026.50
  4. Step 4: Simplify right side
    163,256,653x = 126,174,162,926,130,704
  5. Step 5: Solve for x
    x = 126,174,162,926,130,704/163,256,653
  6. Step 6: Final answer
    x = 772,857,709.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.