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Finding the Third Proportional to 306,495,091 and 459,293,167.50

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Solution

The third proportional to 306,495,091 and 459,293,167.50 is: 688,266,206.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,495,091 : 459,293,167.50 = 459,293,167.50 : x
  2. Step 2: Convert to fraction form
    306,495,091/459,293,167.50 = 459,293,167.50/x
  3. Step 3: Cross multiply
    306,495,091x = 459,293,167.50 × 459,293,167.50
  4. Step 4: Simplify right side
    306,495,091x = 210,950,213,712,183,072
  5. Step 5: Solve for x
    x = 210,950,213,712,183,072/306,495,091
  6. Step 6: Final answer
    x = 688,266,206.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.