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Finding the Third Proportional to 109,710,457 and 235,931,954

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Solution

The third proportional to 109,710,457 and 235,931,954 is: 507,370,841.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,710,457 : 235,931,954 = 235,931,954 : x
  2. Step 2: Convert to fraction form
    109,710,457/235,931,954 = 235,931,954/x
  3. Step 3: Cross multiply
    109,710,457x = 235,931,954 × 235,931,954
  4. Step 4: Simplify right side
    109,710,457x = 55,663,886,918,258,112
  5. Step 5: Solve for x
    x = 55,663,886,918,258,112/109,710,457
  6. Step 6: Final answer
    x = 507,370,841.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.