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Finding the Third Proportional to 172,846,498.16 and 380,169,258.10

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Solution

The third proportional to 172,846,498.16 and 380,169,258.10 is: 836,167,734.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,846,498.16 : 380,169,258.10 = 380,169,258.10 : x
  2. Step 2: Convert to fraction form
    172,846,498.16/380,169,258.10 = 380,169,258.10/x
  3. Step 3: Cross multiply
    172,846,498.16x = 380,169,258.10 × 380,169,258.10
  4. Step 4: Simplify right side
    172,846,498.16x = 144,528,664,807,779,136
  5. Step 5: Solve for x
    x = 144,528,664,807,779,136/172,846,498.16
  6. Step 6: Final answer
    x = 836,167,734.63

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.