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Finding the Third Proportional to 83,602,459.13 and 174,827,767.50

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Solution

The third proportional to 83,602,459.13 and 174,827,767.50 is: 365,596,282.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,602,459.13 : 174,827,767.50 = 174,827,767.50 : x
  2. Step 2: Convert to fraction form
    83,602,459.13/174,827,767.50 = 174,827,767.50/x
  3. Step 3: Cross multiply
    83,602,459.13x = 174,827,767.50 × 174,827,767.50
  4. Step 4: Simplify right side
    83,602,459.13x = 30,564,748,289,034,056
  5. Step 5: Solve for x
    x = 30,564,748,289,034,056/83,602,459.13
  6. Step 6: Final answer
    x = 365,596,282.80

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.