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Finding the Third Proportional to 223,877,196 and 484,425,461.25

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Solution

The third proportional to 223,877,196 and 484,425,461.25 is: 1,048,199,779.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,877,196 : 484,425,461.25 = 484,425,461.25 : x
  2. Step 2: Convert to fraction form
    223,877,196/484,425,461.25 = 484,425,461.25/x
  3. Step 3: Cross multiply
    223,877,196x = 484,425,461.25 × 484,425,461.25
  4. Step 4: Simplify right side
    223,877,196x = 234,668,027,507,275,264
  5. Step 5: Solve for x
    x = 234,668,027,507,275,264/223,877,196
  6. Step 6: Final answer
    x = 1,048,199,779.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.