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Finding the Third Proportional to 210,301,511.63 and 460,180,614.94

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Solution

The third proportional to 210,301,511.63 and 460,180,614.94 is: 1,006,964,699.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,301,511.63 : 460,180,614.94 = 460,180,614.94 : x
  2. Step 2: Convert to fraction form
    210,301,511.63/460,180,614.94 = 460,180,614.94/x
  3. Step 3: Cross multiply
    210,301,511.63x = 460,180,614.94 × 460,180,614.94
  4. Step 4: Simplify right side
    210,301,511.63x = 211,766,198,364,255,648
  5. Step 5: Solve for x
    x = 211,766,198,364,255,648/210,301,511.63
  6. Step 6: Final answer
    x = 1,006,964,699.05

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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.